Consider a pair of insulating blocks with thermal resistances R 1 , and R 2 as shown in the figure. The temperature θ at the boundary between the two blocks is

θ 1 θ 2 R 1 R 2 θ 1 + θ 2 R 1 + R 2

θ 1 + θ 2 R 1 R 2 R 1 2 + R 2 2

The figure below shows the variation of specific heat capacity ( C ) of a solid as a function of temperature ( T ). The temperature is increased continuously from 0 to 500 K at a constant rate. Ignoring any volume change, the following statement (s) is (are) correct to a reasonable approximation.

The rate of heat absorption increases in the range 200 - 300 K .

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The specific heat of many solids at low temperatures varies with absolute temperature $T$ according to the graph as shown. Then heat energy required to raise the temperature of a unit mass of such a solid from $T = 0$ to $T = 30 K$

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Important Questions on Thermal Properties of Matter

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Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 7

Two identical blocks of metal are at

20 ° C

and

80 ° C

, respectively. The specific heat of the material of the two blocks increases with temperature. Which of the following is true about the final temperature

T_{f}

when the two blocks are brought into contact (assuming that no heat is lost to the surroundings)?

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Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 8

A milk chilling device can remove heat from the milk at the rate of

41.87 \times 10^{6} J h^{- 1}

. Milk also absorbs energy from surrounding at the rate of

4.187 \times 10^{6} J h^{- 1}

. Assuming both the given rate to be uniform, it is observed that it takes

X

minutes for cooling of

500 kg

milk from

50 ° C

5 ° C

, then

X

(

here, specific heat at a constant pressure

C_{p}

of milk is

4.187 kJ {kg}^{- 1} K^{- 1})

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Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 9

1 kg

of ice at

- 20 ° C

is mixed with

2 kg

of water at

90 ° C

. Assuming that there is no loss of energy to the environment, what will be the final temperature of the mixture? (Assume latent heat of ice

= 334.4 kJ {kg}^{- 1}

, specific heat of water and ice are

4.18 kJ {kg}^{- 1} K^{- 1}

and

2.09 kJ {kg}^{- 1} K^{- 1},

respectively)

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Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 10

Ice in a freezer is at

- 7 ° C .

100 g

of this ice is mixed with

200 g

of water at

15 ° C .

Consider the freezing temperature of water to be

0 ° C

, the specific heat of ice as

2.2 J g^{- 1} ° C^{- 1}

, specific heat of water equal to

4.2 J g^{- 1} ° C^{- 1},

and the latent heat of ice is equal to

335 J g^{- 1}

. Assuming no loss of heat to the environment, the mass of ice in the final mixture is closest to

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Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 11

Three liquids with masses

m_{1}, m_{2}, m_{3}

are thoroughly mixed. If their specific heats are

c_{1}, c_{2}, c_{3}

and their temperature

T_{1}, T_{2}, T_{3}

, respectively, then the temperature of the mixture is

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Physics

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Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 12

A metal ball of specific gravity

4.5

and specific heat

0.1 cal g^{- 1} ° C^{- 1}

is placed on a large slab of ice at

0 ° C

. When ball’s temperature become

0 ° C

then half of the ball sinks in the ice. The initial temperature of the ball is :- (Latent heat capacity of ice

= 80 cal g^{- 1}

, specific gravity of ice

= 0.9

)

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IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 13

A coffee maker makes coffee by passing steam through a mixture of coffee powder, milk and water. If the steam is mixed at the rate of

50 g

per minute in a mug containing

500 g

of mixture, then it takes about

t_{0}

seconds to make coffee at

70 ° C

when the initial temperature of the mixture is

25 ° C

. The value of

t_{0}

is close to (ratio of latent heat of evaporation to specific heat of water is

540 ° C

and specific heat of the mixture can be taken to be the same as that of water)

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 14

A coffee maker makes coffee by passing steam through a mixture of coffee powder, milk and water. If the steam is mixed at the rate of

50 g

per minute in a mug containing

500 g

of mixture, then it takes about

t_{0}

seconds to make coffee at

70 ° C

when the initial temperature of the mixture is

25 ° C

. The value of

t_{0}

is close to (ratio of latent heat of evaporation to specific heat of water is

540 ° C

and specific heat of the mixture can be taken to be the same as that of water)

The specific heat of many solids at low temperatures varies with absolute temperature T according to the graph as shown. Then heat energy required to raise the temperature of a unit mass of such a solid from T=0 to T=30 K

Important Questions on Thermal Properties of Matter

Learn and Prepare for any exam you want !

The specific heat of many solids at low temperatures varies with absolute temperature $T$ according to the graph as shown. Then heat energy required to raise the temperature of a unit mass of such a solid from $T = 0$ to $T = 30 K$