The specific heat of the unknown metal is approximately 0.36 J/g°C.
First, let's identify the variables given in the problem:
- Mass of the unknown metal (m1) = 50g
- Initial temperature of the metal (T1) = 100.0°C
- Mass of water (m2) = 150g
- Initial temperature of water (T2) = 20.0°C
- Final temperature of the metal and water ([tex]T_f[/tex]) = 23.3°C
To find the specific heat of the metal, we can use the formula:
[tex]\[ q = m \times c \times ΔT \][/tex]
Where:
- ( q ) is the heat absorbed or released
- ( m ) is the mass of the substance (either the metal or water in this case)
- ( c ) is the specific heat capacity of the substance
- ( ΔT ) is the change in temperature
First, we'll find the heat absorbed by the metal using the above formula:
[tex]\[ q_{\text{metal}} = m_{\text{metal}} \times c_{\text{metal}} \times ΔT_{\text{metal}} \]\[ q_{\text{metal}} = 50g \times c_{\text{metal}} \times (T_f - T_1) \]\[ q_{\text{metal}} = 50g \times c_{\text{metal}} \times (23.3°C - 100.0°C) \]\[ q_{\text{metal}} = 50g \times c_{\text{metal}} \times (-76.7°C) \][/tex]
Next, we'll find the heat released by the water as it cools down:
[tex]\[ q_{\text{water}} = m_{\text{water}} \times c_{\text{water}} \times ΔT_{\text{water}} \]\[ q_{\text{water}} = 150g \times 4.18 J/g°C \times (T_f - T_2) \]\[ q_{\text{water}} = 150g \times 4.18 J/g°C \times (23.3°C - 20.0°C) \]\[ q_{\text{water}} = 150g \times 4.18 J/g°C \times 3.3°C \][/tex]
Since the heat lost by the metal equals the heat gained by the water (assuming no heat is lost to the surroundings):
[tex]\[ q_{\text{metal}} = q_{\text{water}} \]\[ 50g \times c_{\text{metal}} \times (-76.7°C) = 150g \times 4.18 J/g°C \times 3.3°C \][/tex]
Now, solve for [tex]\( c_{\text{metal}} \):[/tex]
[tex]\[ c_{\text{metal}} = \frac{150g \times 4.18 J/g°C \times 3.3°C}{50g \times (-76.7°C)} \]\[ c_{\text{metal}} = \frac{2085.3 J}{-3835 J} \]\[ c_{\text{metal}} ≈ 0.36 J/g°C \][/tex]
So, the specific heat of the unknown metal is approximately 0.36 J/g°C.
Complete Question:
50g of an unknown metal at 100.0 degrees celsius is placed into 150g of water at 20.0 degrees Celsius and the final temperature of the metal and water is 23.3 degrees Celsius. What is the specific heat of the metal?
The specific heat of the metal is approximately [tex]\( 0.527 \, \text{J/g}^\circ \text{C} \)[/tex].
For the metal:
[tex]\[ q_{\text{metal}} = m_{\text{metal}} \cdot c_{\text{metal}} \cdot \Delta T_{\text{metal}} \][/tex]
where[tex]\( q_{\text{metal}} \)[/tex] is the heat lost by the metal, \( m_{\text{metal}} \) is the mass of the metal, [tex]\( c_{\text{metal}} \)[/tex] is the specific heat capacity of the metal, and \( \Delta T_{\text{metal}} \) is the change in temperature of the metal.
For the water:
[tex]\[ q_{\text{water}} = m_{\text{water}} \cdot c_{\text{water}} \cdot \Delta T_{\text{water}} \][/tex]
where [tex]\( q_{\text{water}} \)[/tex] is the heat gained by the water, [tex]\( m_{\text{water}} \)[/tex] is the mass of the water, [tex]\( c_{\text{water}} \)[/tex] is the specific heat capacity of water (which is approximately [tex]\( 4.184 \, \text{J/g}^\circ \text{C} \))[/tex], and [tex]\( \Delta T_{\text{water}} \)[/tex] is the change in temperature of the water.
Since the heat lost by the metal is equal to the heat gained by the water, we have:
[tex]\[ q_{\text{metal}} = -q_{\text{water}} \][/tex]
Substituting the expressions for [tex]\( q_{\text{metal}} \)[/tex] and [tex]\( q_{\text{water}} \)[/tex] into this equation gives us:
[tex]\[ m_{\text{metal}} \cdot c_{\text{metal}} \cdot \Delta T_{\text{metal}} = -m_{\text{water}} \cdot c_{\text{water}} \cdot \Delta T_{\text{water}} \][/tex]
Now we can plug in the known values:
[tex]\[ 50 \, \text{g} \cdot c_{\text{metal}} \cdot (23.3^\circ \text{C} - 100.0^\circ \text{C}) = -150 \, \text{g} \cdot 4.184 \, \text{J/g}^\circ \text{C} \cdot (23.3^\circ \text{C} - 20.0^\circ \text{C}) \][/tex]
Solving for [tex]\( c_{\text{metal}} \)[/tex]:
[tex]\[ 50 \cdot c_{\text{metal}} \cdot (-76.7) = -150 \cdot 4.184 \cdot 3.3 \] \[ c_{\text{metal}} = \frac{-150 \cdot 4.184 \cdot 3.3}{50 \cdot (-76.7)} \] \[ c_{\text{metal}} = \frac{-2020.2}{-3835} \] \[ c_{\text{metal}} \approx 0.527 \, \text{J/g}^\circ \text{C} \][/tex]
The answer is: 0.527 \,[tex]\text{J/g}^\circ \text{C}[/tex]"
When 6.0 mol H2O reacts with 5.0 mol Al in the reaction below, 4.0 mol of Al are used up in the reaction. How many moles of Al are left over unreacted?
Reaction: 2Al + 3H2O → Al2O3 + 3H2
Answer:
1 mole
Explanation:
Given parameters:
number of moles of H₂O = 6moles
Number of moles of Al used up= 4 moles
Number of moles of Al given = 5 moles
Unknown:
Number of moles of Al left unreacted = ?
Solution
To solve this problem, we are going to use the mole approach. The balanced chemical equation furnishes us with an overview of the amount of reactants used in the reaction.
The balanced equation is shown below:
2Al + 3H₂O → Al₂O₃ + 3H₂
we can also see that 4 moles of aluminium was used up in the reaction.
The amount of unreacted aluminum = Number of moles given - number of moles used
= 5 mole - 4 mole
= 1 mole
3. Which element is most important for growing crops?
a. carbon dioxide
BA
b. hydrogen
C. calcium
d. nitrogen
4. Who discovered how to manipulate equilibrium systems?
Answer:
B. hydrogen
Explanation:
that's because hydrogen is an element.
which test result indicated a chemical change has taken place?
Answer:
we need options to give you an answer
Explanation:
What percent by mass of ammonium sulfate
((NH4)2SO4) is nitrogen(N)?
Answer:
The percentage of mass of nitrogen in ammonium sulfate is 21.20%
Explanation:
Solving this problem, we need to know that nitrogen is a gas and also we need to calculate the molar mass of the compound which (NH4)2SO4
Mm of (NH4)2SO4 =
N - 14.0067
H - 1.00784
S - 32.065
O - 15.999
Mm = (14.0067)2+(1.00784*4)2+32.065+(15.999*4)
Note: Because there are 4*2=8atoms of hydrogen and 4 atoms of oxygen and 2 atoms of nitrogen in the compound
Mm = 28.0134+ 8.06272+32.065+63.996
= 132.13712g/mol
Since there are two atoms of nitrogen in ammonium sulfate
The mm of N = 2 * 14.0067
= 28.0134g/mol
Therefore, to calculate percent massof N in (NH4)2SO4
We divide the mm of N by mm of (NH4)2SO4 multiplied by 100
i. e. 28.0134/132.14
= 0.212
= 0.212 * 100
= 21.20% mass of nitrogen
11. Which particles can wind move most easily?
A. sand
B. pebbles
C. silt
D. gravel
Which one is the answer
PLZZZZZ HELP MEEEEEE
2 Li + H2SO4 → Li2SO4 + H2
If 1.5107 moles of Li are reacted with 0.0745 moles of H2SO4, how many moles of H2 will be produced?
Answer:
0.0745 mole of hydrogen gas
Explanation:
Given parameters:
Number of H₂SO₄ = 0.0745 moles
Number of moles of Li = 1.5107 moles
Unknown:
Number of moles of H₂ produced = ?
Solution:
To solve this problem, we have to work from the known specie to the unknown one.
The known specie in this expression is the sulfuric acid, H₂SO₄. We can compare its number of moles with that of the unknown using a balanced chemical equation.
Balanced chemical equation:
2Li + H₂SO₄ → Li₂SO₄ + H₂
From the balanced equation;
Before proceeding, we need to obtain the limiting reagent. This is the reagent whose given proportion is in short supply. It determines the extent of the reaction.
2 mole of Li reacted with 1 mole of H₂SO₄
1.5107 mole of lithium will react with [tex]\frac{1.5107}{2}[/tex] = 0.7554mole of H₂SO₄
But we were given 0.0745 moles,
This suggests that the limiting reagent is the sulfuric acid because it is in short supply;
since 1 mole of sulfuric acid produced 1 mole of hydrogen gas;
0.0745 mole of sulfuric acid will produce 0.0745 mole of hydrogen gas
May someone help me with a few questions?
Answer: again these are equations you should know; I hope you WILL LEARN them, and how to write your own; these must have come from the book or lecture, and I do not want to berate you, I want you to improve more every day. But it is very late here, and I must finally go. Study hard!
No matter what, study hard.
I loved research; tons of fun, meeting new people, and learning new things.
Hopefully many people here will also.
I bid you all a Good Night.
Explanation:
how is a series circuit different from a parallel circuit?
A series circuit has two or more loops and a parallel has only one loop for the current to flow through.
A series has an open circuit and a parallel circuit has a closed circuit
A series circuit has only one loop and a parallel circuit has two or more loops for the current to flow through
A series circuit has a closed circuit and a parallel circuit has an open circuit.
Answer:
C. A series circuit has only one loop and a parallel circuit has two or more loops for the current to flow through
Explanation:
A circuit that are made of one loop is called series circuit. On the other hand, the parallel circuit has at least two loops. The circuit type has nothing to do with open or closed circuit.
If any part of the series circuit got cut, the current will stop flowing since there is only one loop. A parallel circuit has more loop so the circuit might still work even if a part of the circuit got cut.
state the aufbau principle.
Answer:
Explanation:
To show the sequence of electrons filling sublevels in an atom, the Aufbau's principle is one of the tenets that must be satisfied to write a proper notation.
Aufbau's principle states that "the sublevels with lower energies are filled up before those with higher energies". Note that based on this principle, we are not inferring that sublevels are filled in numerical order. The patter of filling is shown below:1s 2s 2p 3s 3p 4s 3d 4p 5s 4d 5p 6s 4f 5d 6p 7s 5f e.t.c
Final answer:
The Aufbau principle is a rule that determines the electron configuration of atoms by filling orbitals in order of increasing energy.
Explanation:
The Aufbau principle is a rule used to determine the electron configuration of atoms.
According to the Aufbau principle, electrons fill orbitals in order of increasing energy, starting from the lowest energy level.
This means that the 1s orbital is filled before the 2s orbital, and the 2p orbital is filled after the 2s orbital.
What characteristic does it have as a gas that it did not have as a liquid?
Answer:
Like liquids, gases have no definite shape, but unlike solids and liquids, gases have no definite volume either. The change from solid to liquid usually does not significantly change the volume of a substance.
Explanation:
20ml of 2M KOH are placed into a beaker. 4M CH 3 COOH are placed into a burette.
a. Predict what volume of CH 3 COOH will be needed to neutralize the KOH.
Volume of CH3COOH will be needed to neutralize the KOH is 10 ml.
Explanation:
In the titration process the concentration of unknown analyte be it acid or base is calculated by the formula:
Macid x Vacid = Mbase x Vbase equation 1
Data given:
volume of base KOH = 20 ml
molarity of base = 2M
Molarity of CH3COOH acid = 4 M
Volume of CH3COOH acid = ?
Putting the values in the equation 1
4 x V acid = 20 x 2
V acid = [tex]\frac{40}{4}[/tex]
V acid = 10 ml
The neutralization of KOH by CH3COOH will be done by using 10 ml of 4M solution of CH3COOH against 20 ml of 2M KOH.
A balloon is taken to a mountain top and inflated with helium to a volume of 5.0 L. The balloon is then released and rises to an altitude where the helium has a new volume of 25.0 L and a pressure of 0.18 atm.
Which of the statements below is correct?
A. At the new altitude, the pressure inside the balloon is greater than the pressure outside.
B. At the new altitude, the pressure outside the balloon is greater than the pressure inside.
C.At the mountain top, the pressure inside the balloon is lower than at the new altitude.
D. At the mountain top, the pressure inside and outside the balloon is the same.
What was the pressure inside the balloon before it was released from the mountain top?
A. 0.18 atm
B. atm
C. 1.00 atm
D. 1.11 atm
Answer:
C.At the mountain top, the pressure inside the balloon is lower than at the new altitude.
Explanation:
The gas laws will come handy in predicting pressure, volume and temperature relationships of a given amount of gas.
Given parameters:
Volume at mountaintop = 5.0L
New volume at altitude = 25.0L
New pressure at altitude = 0.18atm
Pressure at mountaintop = ?
Here we are dealing with pressure and volume relationships between two given gases. The best law that gives a good prediction of what happen is the Boyle's law.
The law states that "the volume of a fixed mass(mole) of a gas varies inversely as the pressure changes, if the temperature is constant".
Mathematically;
P₁V₁ = P₂V₂
P₁ is the pressure at mountaintop
P₂ is the pressure at new altitude
V₁ is the volume at mountaintop
V₂ is the volume at new altitude.
From the definition of Boyle's law, we can clearly conclude that at the new altitude, the gas expands due to low pressure and will attain a new volume.
The pressure at mountaintop;
P₁ x 5 = 25 x 0.18
P₁ = 0.9atm
We can clearly see that at the mountaintop, the balloon has a higher pressure that confines the helium gas inside the balloon to a lower space.
An inverse relationship thus exists between volume and pressure
ANSWER ASAP AND I WILL GIVE BRAINLYEST!!!!
Ocean currents act much like a conveyor belt, transporting warm water and precipitation from the equator toward the poles and cold water from the poles back to the tropics. Thus, ocean currents regulate global climate, helping to counteract the uneven distribution of solar radiation reaching Earth's surface. I think its B
Answer:
oceans transfer energy from the sun. They do so , in order to exchange heat and moisture to the sky and earth influencing weather systems accordingly.
The ocean influences weather patterns by distributing heat and moisture around the globe. ... Tropical storms form over warm ocean waters, which supply the energy for hurricanes and typhoons to grow and move, often over land. The winter storms that bring precipitation to the western U.S. originate over the North Pacific.
(OFFERING 100 POINTS, PLEASE ANSWER QUICKLY) The level on an open-ended manometer reads 150 mmHg higher on the open end, and the outside air pressure is 760 torr. What is the gas pressure?
Answer:
the gas pressure is
Explanation:
.... 11.00
Please help me answer the question above in the picture.
Answer:
C
Explanation:
Non-polar and symmetrical accurately describes the molecular polarity and charge distribution in CO2.
PLEASE ANSWERRRR
Materials that are good conductors are so because
A. They are positive and always attract electrons
B. The protons are relatively mobile.
C. Some of their electrons are free to roam through the atomic structure
D. All of their electrons can be completely removed from the nucleus.
Answer:
Option C. Some of their electrons are free to roam through the atomic structure
Explanation:
Materials which conduct electricity have free mobile electrons.
*Multiple Choice:
1. Which of the following is NOT one of the six purposes listed in The Constitution?
Answer:
k
Explanation:
Answer:
What is the following
Explanation:
At a pressure of 782.3 mm Hg and 34.4 °C, a certain gas has a volume of 362.4 mL. What will
be the new volume of this gas under STP?
Answer: v2=331.289mL
Explanation:
Formula for ideal gas law is p1v1/T1=p2v2/T2
P1=782.3mmHg
P2=769mmHg at STP
V1=362.4mL
V2=?
T1=273+34.4=307.4k
T2=273k at STP
Then apply the formula and make v2 the subject of formula
V2= 782.3×362.4×273/760×307.4
V2=77397006.96/233624
V2=331.289mL
A helium-filled balloon escapes a child's hand at sea level and 21.1 deg C. When it reaches an altitude of 3000 m, where the temperature is 4.8 deg C and the pressure is only 0.72 atm , how will its volume compare to that at sea level?
Answer:
Explanation:
Well use the combines gas law to evaluate this question;
P₁V₁/T₁ = P₂V₂/T₂ (Remember that at sea level the pressure is usually 1 atm)
1 * V₁ / 294.25 = 0.72 * V₂ / 277.95 (NB: Temperatures have to be in Kelvin)
V₁ / 294.25 * 277.95 = 0.72 V₂
0.945 V₁ = 0.72 V₂
0.945/0.72 V₁ = V₂
1.312 V₁ = V₂
The volume (V2) at 3000 m altitude will be 1.312 bigger than the initial volume at sea level.
Describe What kind of
ions do metals form? What
kind of ions do nonmetals
form?
Metals form positive ions and nonmetals negative ions
Explanation:
Metal atoms become positively charged ions because they lose electrons when they react with another atom.Metals are situated on the left side of the periodic table. Group 1 and group 2 are called the alkali metals and alkaline earth metals. These metal atoms have valence electrons in an s orbital.Non-metal atoms become negatively charged ions because they gain electrons when they react with another atom.Ions are charged particles formed when atoms lose or gain electrons. This loss or gain makes the outer shell of the atom stable. Metals have fewer electrons compared to nonmetals in the outermost shell.How could this gravitational potential energy be transformed into kinetic energy?
A.
He could start the engine.
B.
He could release the brakes.
C.
He could push it up the hill.
D.
all of these
Answer:
d
Explanation:
all of these turn potential energy into kinetic energy because they start the engine and move the car
Answer:
Explanation: B relase breaks
How are water-based solutions formed?
A. Solutions are formed when the water’s polar molecules separate the nonpolar molecules of the solute.
B. Solutions are formed when the water’s nonpolar molecules form stronger bonds between the solute’s molecules.
C. Solutions are formed when the nonpolar molecules of the water cause the solute to dissolve and disperse unevenly.
D. Solutions are formed when the water’s polar molecules separate the polar molecules of an ionic or molecular compound.
Answer:
D. Solutions are formed when the water’s polar molecules separate the polar molecules of an ionic or molecular compound.
Explanation:
Solutions are homogeneous mixtures formed by interaction between solutes and solvents.
Water based solutions have water as the solvents and mostly ionic and molecular compounds as their solutes.
Water is a polar solvent that is capable of dissolving many compounds by hydrating them. The molecules of water surrounds the solute and forces them to separate.
ASAP taking exam rn
Which of the answers does not represent a common type of air pollution? A) agricultural ammonia B) carbon monoxide exhaust C) sulfur oxide D) synthetic organic compounds E) industrial nitrogen oxide
Answer:
D)
synthetic organic compounds
Explanation:
synthetic organic compounds are water pollutants
what’re the answers?
A gas that has a volume of 28 liters, a temperature of 42°C, and an unknown pressure has its volume increased to 49 liters and its temperature decreased to 27°C. If the pressure is measured after the change at 4.0 atm, what was the original pressure of the gas?
Answer:
7.35 atm
Explanation:
From the question we are given;
Initial volume, V1 as 28 LInitial temperature, T1 as 42°C or 315 KNew volume. V2 as 49 LNew temperature, T2 as 27°C or 300 KNew Pressure, P2 as 4.0 atmWe are required to determine the initial pressure, P1
We are going to use the combined gas law...
According to the combined gas law,
[tex]\frac{P_{1} V_{1} }{T_1} =\frac{P_2V_2}{T_2}[/tex]
Therefore, to get P1
[tex]P_1=\frac{P_2V_2T_1}{V_1T_2}[/tex]
We get;
[tex]P_1=\frac{(4.0)((49)(315)}{(300)(28)}[/tex]
[tex]P_1=7.35[/tex]
Therefore, the initial pressure of the gas is 7.35 atm
Which biome has leaves that change colors and fall off as winter approaches?
The biome with leaves that change color and fall off during autumn is the temperate forest. Here, deciduous trees adapt to seasonal changes with their leaves turning brilliant colors before shedding, a process triggered by environmental cues such as shorter days and cooler temperatures.
The biome where leaves change color and fall off as winter approaches is known as the temperate forest. Within this biome, deciduous trees dominate due to their unique adaptations to moderate annual rainfall and temperatures. As autumn arrives, these trees prepare for the dormant winter period.
The process begins with a reduction in chlorophyll production, due to shorter days and cooler temperatures, which allows the carotenoid pigments to become visible, showcasing beautiful orange, red, and yellow leaves.
Eventually, the trees shed their leaves to conserve resources, and they remain leafless throughout the winter. This is followed by a resurgence of growth in the spring as sunlight increases and temperatures rise, triggering new leaf growth using stored nutrients.
What happens when Photographic film gets exposed to light?
(related to photochemical decomposition)
Answer:
chyba się zniszczy
Explanation:
ponieważ sie film prześwietli
How many energy levels dose a tungsten atom have?
the density of a mineral is 2.6g/cm* what is the specific gravity
The specific gravity of a substance is a measure of its density in comparison to water. In your case, the specific gravity of the mineral would be 2.6 because its density is 2.6 times that of water.
Explanation:Answer
The specific gravity of a substance is the ratio of the density of a substance to the density of a reference substance, often water. Given that the density of the mineral in question is 2.6g/cm^3, which is equal to the density of the mineral in water, we can say that the specific gravity is 2.6. This is because the specific gravity is a dimensionless quantity; it has no units. So, the specific gravity of a substance with a density identical to that of water would be 1. Since in your case, the mineral density is 2.6 times that of water, the specific gravity would be 2.6.
Learn more about Specific Gravity here:https://brainly.com/question/31485690
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Why is the ocean water near the poles less salty than other places?
Question 8 options:
Rain washes mineral ions from the land into water.
Fresh water from the glaciers are melting into it.
Active underwater volcanoes erupt nearby.
Earthquakes shake rock loose nearby.
Answer:
Rain washes mineral ions from the land int water.
Explanation:
The amount of rain is highest at the equator and lowest at the poles. Due to this heavy amount of rain at the equator areas minerals get washed from land to the water. The washed minerals when be in the watery medium the either dissolve or dissociate to different ions according to their nature. The dissolution or dissociation of minerals in the water releases various salts in the medium and it becomes salty because of their presence in higher amounts.
Answer:
Fresh water from the glacier are melting into it.
Explanation:
Fresh water, in the form of water vapor, moves from the ocean to the atmosphere through evaporation causing the higher salinity. Toward the poles, fresh water from melting ice decreases the surface salinity once again. ... Adding salt to water lowers the freezing temperature.