EASY

JEE Advanced

IMPORTANT

Earn 100

A pot with a steel bottom $1.2 cm$ thick, rests on a hot stove. The area of the bottom of the pot is $0.150 m^{2}$ . The water inside the pot is at $100 ° C$ and $0.440 kg$ are evaporated every $5.0 \min$ . Find the temperature of the lower surface of the pot which is in contact with the stove. Take $L_{v} = 2.256 \times 10^{6} J {kg}^{- 1}$ and $k_{steel} = 50.2 W m^{- 1} K^{- 1}$ .

Important Questions on Calorimetry and Heat Transfer

EASY

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 6 - Calorimetry and Heat Transfer>Exercises>Q 5

A carpenter builds an outer house wall with a layer of wood

2.0 cm

thick on the outside and a layer of an insulation

3.5 cm

thick as the inside wall surface. The wood has

K = 0.08 W m^{- 1} K^{- 1}

and the insulation has

K = 0.01 W m^{- 1} K^{- 1}

. The interior surface temperature is

19 ° C

and the exterior surface temperature is

- 10 ° C

.
(a) What is the temperature at the plane where the wood meets the insulation?
(b) What is the rate of heat flow per square metre through this wall?

EASY

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 6 - Calorimetry and Heat Transfer>Exercises>Q 6

A closed thermally insulated vessel contains

100 g

of water at

0 ° C

. If air from this vessel is rapidly pumped out, intensive evaporation will produce cooling and as a result of this, water freezes. How much ice will be formed by this method, if latent heat of fusion is

80 cal g^{- 1}

and of evaporation

560 cal g^{- 1}

MEDIUM

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 6 - Calorimetry and Heat Transfer>Exercises>Q 7

In a container of negligible mass,

140 g

of ice, initially at

- 15 ° C

, is added to

200 g

of water that has a temperature of

40 ° C

. If no heat is lost to the surroundings, what is the final temperature of the system and masses of water and ice in the mixture?

EASY

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 6 - Calorimetry and Heat Transfer>Exercises>Q 8

A certain amount of ice is supplied heat at a constant rate for

7 \min

. For the first

1 \min

, the temperature rises uniformly with time. Then, it remains constant for the next

4 \min

, and again the temperature rises at uniform rate for the last

2 \min

. Calculate the final temperature at the end of

7 \min

. (Given:

L

of ice

= 336 \times 10^{3} J {kg}^{- 1}

and specific heat of water

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

)

EASY

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 6 - Calorimetry and Heat Transfer>Exercises>Q 9

Four identical rods $A B, C D, C F$ and $D E$ are joined, as shown in the figure. The length, cross-sectional area and thermal conductivity of each rod are $l, A$ and $K$ , respectively. The ends $A, E$ and $F$ are maintained at temperatures $T_{1}, T_{2}$ and $T_{3}$ , respectively. Assuming no loss of heat to the atmosphere, find the temperature at $B$ , the mid-point of $C D$ .

Question Image

MEDIUM

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 6 - Calorimetry and Heat Transfer>Exercises>Q 10

The ends of a copper rod of length

1 m

and area of cross-section

1 {cm}^{2}

, are maintained at

0 ° C

and

100 ° C

. At the centre of the rod there is a source of heat of power

25 W

. Calculate the temperature gradient in the two halves of the rod in steady state. Thermal conductivity of copper is

400 W m^{- 1} K^{- 1}

MEDIUM

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 6 - Calorimetry and Heat Transfer>Exercises>Q 12

A cylindrical rod with one end in a steam chamber and the other end in ice, results in melting of

0.1 g

of ice per second. If the rod is replaced by another, with half the length and double the radius of the first, and if the thermal conductivity of the material of the second rod is

\frac{1}{4}

that of the first, the rate at which ice melts, in

g s^{- 1}

, will be

MEDIUM

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 6 - Calorimetry and Heat Transfer>Exercises>Q 13

Two sheets of thickness

d

and

3 d

are touching each other. The temperature just outside the thinner sheet is

T_{1}

and on the side of the thicker sheet is

T_{3}

. The interface temperature

T_{1}, T_{2}

and

T_{3}

are in arithmetic progression. The ratio of thermal conductivity of the thinner sheet to the thicker sheet is

Important Questions on Calorimetry and Heat Transfer

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