HARD

Earn 100

A heater supplying constant power $P$ watts is switched ON at time $t = 0 \min$ to raise the temperature of a liquid kept in a calorimeter of negligible heat capacity. A student records the temperature of the liquid $T (t)$ at equal time intervals. A graph is plotted with $T (t)$ on the $Y$ -axis versus $t$ on the $X$ -axis. Assume that there is no heat loss to the surroundings during heating. Then,

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Important Questions on Thermal Properties of Matter

MEDIUM

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

Steam at

100^{o} C

is passed into

20 g

of water at

10^{o} C .

When water acquires a temperature of

80^{o} C,

the mass of water present will be:
[Take specific heat of water

= 1 c a l g^{- 1 o} C^{- 1}

and latent heat of steam

= 540 c a l g^{- 1}]

HARD

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

M

grams of steam at

100^{o} C

is mixed with

200 g

of ice at its melting point in a thermally insulated container. If it produces liquid water at

40^{o} C

[heat of vaporization of water is

540 c a l / g

and heat of fusion of ice is

80 c a l / g

], the value of

M

is ________

MEDIUM

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

When

M_{1}

gram of ice at

- 10^{o} C

(specific heat

= 0.5 c a l g^{- 1} ℃^{- 1}

) is added to

M_{2}

gram of water at

50^{o} C,

finally no ice is left and the water is at

0^{o} C

. The value of latent heat of ice, in

c a l g^{- 1}

is:

MEDIUM

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

15 kW

drilling machine is used to drill a bore in a small aluminium block of mass

10 kg

. Assuming

50 %

power is used up in heating the machine itself or lost to the surroundings, then the rise in temperature of the block in

2

minutes is

(

Specific heat capacity of aluminium

= 0.91 J g^{- 1} ° C^{- 1}

)

MEDIUM

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

An aluminium piece of mass

50 g

initially at

300 ° C

is dipped quickly and taken out of

1 kg

of water, initially at

30 ° C .

If the temperature of the aluminium piece immediately after being taken out of the water is found to be

160 ° C,

what is the temperature of the water? Then, specific heat capacities of aluminium and water are

900 J {kg}^{- 1} K^{- 1}

and

4200 J {kg}^{- 1} K^{- 1}

, respectively.

MEDIUM

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

50 g

of ice at

0 ° C

is mixed with

50 g

of water at

80 ° C

. If the latent heat of ice is

80 cal g^{- 1}

and specific heat of water is

1 cal g^{- 1} ° C^{- 1}

, then the final temperature of mixture is

HARD

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

A massless spring

(k = 800 N / m),

attached with a mass

(500 g)

is completely immersed in

1 k g

of water. The spring is stretched by

2 c m

and released so that it starts vibrating. What would be the order of magnitude of the change in the temperature of water when the vibrations stop completely? (Assume that the water container and spring receive negligible heat and specific heat of mass

= 400 J / k g K,

specific heat of water

= 4184 J / k g K

)

HARD

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

A metallic block of mass

20 kg

is dragged with a uniform velocity of

0.5 {ms}^{- 1}

on a horizontal table for

2.1 s

. The coefficient of static friction between the block and the table is

0.10

. What will be the maximum possible rise in temperature of the metal block, if the specific heat of the block is

0.1 CGS

unit? Assume

g = 10 {ms}^{- 2}

and uniform rise in temperature throughout the whole block. [Ignore absorption of heat by the table]

EASY

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

In an experiment, a sphere of aluminium of mass

0.20 kg

is heated up to

150 ° C

. Immediately, it is put into water of volume

150 cc

27^{o} C

kept in a calorimeter of water equivalent to

0.025 kg

. The final temperature of the system is

40^{o} C

. The specific heat of the aluminium is(take

4.2 Joule = 1 calorie

)

HARD

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

Three containers

C_{1}, C_{2}

and

C_{3}

have water at different temperatures. The table below shows the final temperature

T

when different amounts of water (given in liters) are taken from each container and mixed (assume no loss of heat during the process)

$C_{1}$	$C_{2}$	$C_{3}$	$T$
$1 l$	$2 l$	$- -$	$60^{o} C$
$- -$	$1 l$	$2 l$	$30^{o} C$
$2 l$	$- -$	$1 l$	$60^{o} C$
$1 l$	$1 l$	$1 l$	$θ$

The value of

θ

(in

^{o} C

to the nearest integer) is___________

EASY

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

The time taken for a calorimeter containing

75 g

of water at

62 ° C

cool

58 ° C

9

minutes. When the calorimeter contains

105 g

of water, it takes

12

minutes to cool from

62 ° C

58 ° C

. The water equivalent of the calorimeter is______

EASY

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at

100^{o} C

, while the other one is at

0^{o} C

. If the two bodies are brought into contact, then assuming no heat loss, the final common temperature is

HARD

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

Two identical blocks of ice move in opposite directions with equal speed and collide with each other. What will be the minimum speed required to make both the blocks melt completely, if the initial temperatures of the blocks were $- 8 ° C$ each? (Specific heat of ice is $2100 J {kg}^{- 1} K^{- 1}$ and latent heat of fusion of ice is $3.36 \times 10^{5} J {kg}^{- 1})$

MEDIUM

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

Two taps supply water to a container, one at the temperature of

20 ° C

at the rate of

2 kg / minute

and another at

80 ° C

at the rate of

1 kg / minute

. If the container gets water from the two taps simultaneously for 10 minutes, then the temperature of water in the container is

HARD

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

The water equivalent of a calorimeter is

10 g

and it contains

50 g

of water at

15 ° C

. Some amount of ice, initially at

- 10 ° C

is dropped in it and half of the ice melts till equilibrium is reached. What was the initial amount of ice that was dropped (when specific heat of ice

= 0.5

cal

{gm}^{- 1} {}^{\circ}C^{- 1},

specific heat of water

= 1.0

cal

{gm}^{- 1 \circ} C^{- 1}

and latent heat of melting of ice

= 80

cal

{gm}^{- 1}

HARD

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

An earthen pitcher used in summer cools water in it essentially by evaporation of water from its porous surface. If a pitcher carries

4 kg

of water and the rate of evaporation is

20 g

per hour, temperature of water in it decreases by

Δ T

in two hours. The value of

Δ T

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

540 ° C

)

HARD

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

When

100 g

of boiling water at

100 ° C

is added into a calorimeter containing

300 g

of cold water at

10 ° C

, temperature of the mixture becomes

20 ° C

. Then, a metallic block of mass

1 kg

10 ° C

is dipped into the mixture in the calorimeter. After reaching thermal equilibrium, the final temperature becomes

19 ° C .

What is the specific heat of the metal in CGS unit ?

HARD

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

A liquid at

30^{o} C

is poured very slowly into a Calorimeter that is at temperature of

110^{o} C .

The boiling temperature of the liquid is

80^{o} C .

It is found that the first

5 g m

of the liquid completely evaporates. After pouring another

80 g m

of the liquid the equilibrium temperature is found to be

50^{o} C .

The ratio of the Latent heat of the liquid to its specific heat will be ______

^{o} C .

[Neglect the heat exchange with surrounding]

MEDIUM

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

A copper ball of mass

100 g

is at a temperature

T

. It is dropped in a copper calorimeter of mass

100 g,

filled with

170 g

of water at room temperature. Subsequently, the temperature of the system is found to be

75 ° C

T

is given by:
(Given: room temperature

= 30 ° C

, specific heat of copper

= 0.1 cal g^{- 1} ° C^{- 1}

)

MEDIUM

Physics>Heat and Thermodynamics>Thermal Properties of Matter>Principle of Calorimetry

An unknown metal of mass

192 g

heated to a temperature of

100 ° C

was immersed into a brass calorimeter of mass

128 g

containing

240 g

of water at a temperature of

8.4 ° C .

Calculate the specific heat of the unknown metal if water temperature stabilizes at

21.5 ° C .

(

Specific heat of brass is

394 J {kg}^{- 1} K^{- 1})

Important Questions on Thermal Properties of Matter

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