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1. Which of these sentences best describes the specific heat capacity (c) of a substance?

  • A. The energy needed to raise the temperature of a substance by 1 oC.
  • B. The energy needed to raise the temperature of 1 kg of a substance by 1 oC.
  • C. The temperature reached when 1 kg of a substance is heated by 1 joule.
  • D. The temperature reached when a substance is heated by 1 joule.

2. Which of the following correctly gives the formula for S.H.C. in terms of the heat energy ΔQ supplied to a substance?

  • A. ΔQ = m . c . ΔT
  • B. ΔT = m . c . ΔQ
  • C. ΔQ = c . ΔT
  • D. ΔT = ΔQ . c

3+4. The image shows a large glass vase holding 2 kg of cold water.

Water has a specific heat capacity (c) of 4200 J / Kg 0C.

3. The energy needed to heat 2 kg of water by 5 0C is ..

  • A. 4200 J
  • B. 8400 J
  • C. 42000 J
  • D. 84000 J

3. If I supply 210 kJ of heat to the same 2 kg of water, how much would the temperature increase?

  • A. 25 0C
  • B. 50 0C
  • C. 100 0C
  • D. 250 0C

Q 5-7. These questions are about heating different bars of copper.

Copper has a specific heat capacity of 800 J / Kg 0C.

What are the missing values?

copper bar
 

Energy Supplied

Mass (kg)
Temperature Increase (0C)
5.
20
10
6. 8000 J
20
7.
400 kJ
5

 

 

8. The diagram shows a standard method of finding the S.H.C. of aluminium.

The block has a mass of exactly 1 kg.

What additional measurements are required to find the S.H.C. of aluminium?

 

 

SHC practical setup
I. The temperature rise
II. The time taken to reach the higher temperature
III. The energy supplied to the heating element
  • A. I and II
  • B. I and III
  • C. II and III
  • D. All of them

9+10. These ice cubes have a total mass of 100g. The specific heat capacity of ice is about half that of water.

9. A student heats these ice cubes and also 200 g of water by 10 oC each. They then compare how much heat energy is needed to do this.

Which of these statements is correct?

ice cubes
Howard wang86 wikimedia commons
  • A. The ice will need ¼ the energy to heat compared to the water.
  • B. The ice will need ½ the energy to heat compared to the water.
  • C. The ice will need the same energy to heat as the water.
  • D. The ice will need 4 times the energy to heat compared to the water.

10. In this example, the formula for specific heat capacity can be used when the ice is...

  • A. solid ice or melting
  • B. evaporating
  • C. heated but staying in the same state
  • D. staying at the same temperature
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Question 1:

The specific heat capacity (c) of a substance is defined as:

The energy required to raise the temperature of 1 kg of the substance by 1 °C (or 1 K).

That matches option B.

Correct answer: B.


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Question 2:

The formula for specific heat capacity (c) in terms of heat energy ΔQ supplied is:

ΔQ=m⋅c⋅ΔT

Where:

That matches option A.

Correct answer: A. ΔQ = m . c . ΔT


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 3:

We use the formula:

Q=mcΔT

Given:
m=2 kg
c=4200 J/kg°C
ΔT=5 °C

Q=2×4200×5

Q=42000 J

Correct answer: C. 42000 J.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 4:

We use the same formula:

Q=mcΔT

Given:
Q=210 kJ = 210,000 J
m=2 kg
c=4200 J/kg°C

210,000=2×4200×ΔT

ΔT=210,000/8400=25 °C

Correct answer: A. 25 °C.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 5:

We have three rows with missing values. Use Q = m * c * ΔT, c=800 J/(kg°C).

Energy supplied = ? , m=20 kg, ΔT=10°C. So Q = 20 * 800 * 10 = 20*8000 = 160,000 J = 160 kJ.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 6:

We have three rows with missing values. Use Q = m * c * ΔT, c=800 J/(kg°C).

Q=8000 J, m=?, ΔT=20°C. So m = Q/(cΔT)=8000/(800*20)=8000/16000=0.5 kg.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 7:

We have three rows with missing values. Use Q = m * c * ΔT, c=800 J/(kg°C).

Q=400 kJ = 400,000 J, m=5 kg, ΔT=?. So ΔT = Q/(m*c)=400000/(5*800)=400000/4000=100°C.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 8:

To find the specific heat capacity (c) of aluminium using ΔQ=m⋅c⋅ΔT:

The time taken (II) is not needed in the calculation, because c depends only on ΔQ, m, and ΔT, not on how long it took.

Therefore, the required measurements are I and III.

Correct answer: B. I and III


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 9:

Given:


Heat needed for ice:

Qi=mi⋅ci⋅ΔT=(0.1)⋅(½cw)⋅10

Qi=0.5⋅cw

Heat needed for water:

Qw=mw⋅cw⋅ΔT=(0.2)⋅cw⋅10

Qw=2.0⋅cw


Ratio Qi/Qw:

Qi/Qw=0.5 cw / 2.0 cw=0.5/2.0=¼

So the ice needs ¼ the energy of the water.


Correct answer: A. The ice will need ¼ the energy to heat compared to the water.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 10:

The formula for specific heat capacity:

ΔQ=m⋅c⋅ΔT

can only be used when:

If the ice is melting, the energy goes into latent heat (changing state), not into raising temperature, so the specific heat formula does not apply directly.

Therefore, the formula can be used when the ice is heated but staying in the same state (solid ice below 0°C).

Correct answer: C. heated but staying in the same state ✅


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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