# Specific Heat Capacity

## Trending Questions

**Q.**If CP and CV denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then

- CP−CV=R28
- CP−CV=R14
- CP−CV=R
- CP−CV=28R

**Q.**A gas mixture contains 1 g H2 and 1 g He. If temperature of gas mixture is increased from 0∘C to 100∘C at isobaric process, then find the heat given to the gas mixture. [γHe=53, γHe=75, R=2 cal/mol-K]

- 124 cal
- 327 cal
- 218 cal
- 475 cal

**Q.**Thermal capacity of 20 g of copper is (Given:Specific heat =0.1 cal/g-K)

- 2 cal/ ∘C
- 2 cal/ K
- 8.4 J/K
- All of the above

**Q.**Two liquid with masses m1=10 kg and m2=20 kg are thoroughly mixed. If there specific heats are C1=0.2 cal/g -∘C and C2=0.1 cal/g -∘C and their temperatures are 30∘C and 40∘C respectively, then the final temperature of the mixture is

- 25∘C
- 35∘C
- 30∘C
- 28∘C

**Q.**A tank with a movable piston having initial volume of 0.2 m3 contains He gas at a temperature of 300 K and pressure 105 N/m2. Find the amount of heat required to raise the temperature of gas to 400 K at constant pressure. The molar heat capacity of He at constant pressure is 5 cal K−1mol−1.

- 2400 cal
- 3800 cal
- 4000 cal
- 5000 cal

**Q.**5 kJ of heat is required to raise the temperature of 10 moles of a gas by 100∘C, at a constant volume. The specific heat capacity of the gas is (in J/ mol-K)

- 5
- 25
- 10
- 13.4

**Q.**

540 g of ice at 0∘C is mixed with 540 g of water at 80∘C. The final temperature of the mixture is

0∘C

40∘C

80∘C

Less than 0∘C

**Q.**A liquid of mass m and specific heat c is heated to a temperature 2T. Another liquid of mass m/2 and specific heat 2c is heated to a temperature T. If these two liquids are mixed, the resulting temperature of the mixture is

- (23)T
- (85)T
- (35)T
- (32)T

**Q.**Two spheres made of the same substance have diameters in the ratio 1:2. Their thermal capacities are in the ratio of:

- 1:8
- 1:4
- 1:16
- 1:32

**Q.**Which of the following is the correct unit for heat capacity?

- JK−1kg−1
- JK−1
- Jkg−1∘C−1
- JK−1kg−1

**Q.**5 kJ of heat is required to raise the temperature of 10 moles of a gas by 100∘C, at a constant volume. The specific heat capacity of the gas is (in J/ mol-K)

- 5
- 25
- 10
- 13.4

**Q.**The specific heat capacity of a metal is 0.01 cal/g∘C. If heat capacity of m kg of metal is 0.42 J/∘C. Find the value of m.

- 10−2
- 10−1
- 1
- 10−3

**Q.**A calorimeter of water equivalent 5×10−3 kg contains 25×10−3 kg of water. It takes 3 minutes to cool from 28∘C to 21∘C. When the same calorimeter is filled with 30×10−3 kg of turpentine oil, then it takes 2 minutes to cool from 28∘C to 21∘C. Find the specific heat of turpentine oil.

- 1.5 J kg−1∘C−1
- 0.5 J kg−1∘C−1
- 45 J kg−1∘C−1
- 5 J kg−1∘C−1

**Q.**

When there is no change of state in a process, which of the following is not required to calculate the heat lost or gained in the process?

Weight

Specific heat

Relative density

Temperature change

**Q.**Heatis being supplied to a homogeneous material at a uniform rate and its temperature is plotted against time.

Which of the following options hold true for the specific heat capacity of the material?

- Specific heat capacity is greater in solid state than in liquid state.
- Specific heat capacity is greater in liquid state than in solid state.
- Specific heat capacity is equal in both liquid state and in solid state and is equal to zero.
- Specific heat capacity is equal in both liquid state and in solid state and is equal to infinity.

**Q.**A metallic sphere of radius r and specific heat S is rotated about an axis passing through its centre of mass at an angular speed of n rotations per second. It is suddenly stopped and 50% of its energy is used in increasing its temperature. Then, the rise in temperature of the sphere is

- 2π2n2r25S
- π2n210r2S
- 78πr2n2S
- 5(πrn)214S

**Q.**The specific heat of argon at constant volume is 0.075 kcal/kg K. Calculate its atomic weight [ R=2 cal/mol K ]

- 40 gram/mole
- 70 gram/mole
- 60 gram/mole
- 25 gram/mole

**Q.**One mole of an ideal monoatomic gas undergoes a process described by the equation PV3=constant. The molar heat capacity of this gas during this process is

- 32R
- 52R
- 2R
- R

**Q.**The specific heat of a substance varies with temperature according to the function S=0.20+0.14T+0.023T2 with T in ∘C and S in cal/g∘C. What is the energy required to raise the temperature of 2.0 g of this substance from 5∘C to 15∘C?

- 50 cal
- 82 cal
- 107 cal
- 230 cal

**Q.**Three liquids with masses m1, m2, m3 are thoroughly mixed, If their specific heats are c1, c2, c3 and their temperatures T1, T2, T3 respectively, then the temperature of the mixture is

- c1T1+c2T2+c3T3m1c1+m2c2+m3c3
- m1c1T1+m2c2T2+m3c3T3m1c1+m2c2+m3c3
- m1c1T1+m2c2T2+m3c3T3m1T1+m2T2+m3T3
- m1T1+m2T2+m3T3c1T1+c2T2+c3T3

**Q.**200 g of ice at −20∘C is mixed with 500 g of water at 20∘C in an insulating vessel. What is the final mass of water in the vessel? (Specific heat of ice =0.5 cal g−1∘C−1).

- 700 g
- 600 g
- 400 g
- 200 g

**Q.**An object of mass 8 kg falls through a height of 60 m and by means of a mechanical linkage, rotates a paddle wheel that stirs 0.8 kg of water. Determine the change in temperature of water if initial temperature was 15∘C. Assume no heat is lost to surroundings, specific heat of water, c=4190 J/kg∘C).

- 0.5∘C
- 1.4∘C
- 2.1∘C
- 3.6∘C

**Q.**Two spheres A and B have diameters in the ratio 1:2, densities in the ratio 2:1 and thermal capacities in the ratio 1:12. Find the ratio of their specific heat capacities.

- 1:6
- 1:12
- 1:3
- 1:4

**Q.**Thermal capacity of 20 g of copper is (Given:Specific heat =0.1 cal/g-K)

- 2 cal/ ∘C
- 2 cal/ K
- 8.4 J/K
- All of the above

**Q.**The amount of heat needed to increase the temperature of 1 gm of water from 14.5∘C to 15.5∘C at one atmospheric pressure is:

- 1 calorie
- 4.2 calorie
- 1 joule
- 42 calorie

**Q.**50g of copper is heated to increase its temperature by100C. If the same quantity of heat is given to 10g of water, the rise in its temperature is

- 5∘C
- 6∘C
- 7∘C
- 8∘C

**Q.**How much heat energy is released when 10 kg of liquid water at 100∘ C is brought to its freezing point?

(Specific heat of water =1 cal/g∘C)

- 2100 kJ
- 420 kJ
- 4200 kJ
- 8400 kJ

**Q.**Which of the following statements is/are correct?

(i) The specific heat capacity at constant temperature is infinite.

(ii) When no heat is added and the temperature is variable, specific heat capacity is equal to zero.

- only (i) is correct
- only (ii) is correct
- both (i) and (ii) are correct
- none of the statements is correct

**Q.**An object of mass 8 kg falls through a height of 60 m and by means of a mechanical linkage, rotates a paddle wheel that stirs 0.8 kg of water. Determine the change in temperature of water if initial temperature was 15∘C. Assume no heat is lost to surroundings, specific heat of water, c=4190 J/kg∘C).

- 0.5∘C
- 1.4∘C
- 2.1∘C
- 3.6∘C

**Q.**An engine operates by taking a monoatomic ideal gas through the cycle shown in the figure. The percentage efficiency of the engine is close to ______.