Free Printable HEAT

1.

Two metallic rods X and Y with similar length and cross-sectional area are joined together and insulated. At steady state, the temperatures for rod X is 100ºC and rod Y is 40ºC at each ends . The thermal conductivity of X is twice of Y. Calculate the temperature at the adjoint .

a)

60ºC

b)

100ºC

c)

50ºC

d)

80ºC

2.

The rate of heat conduction is 80 kJ in an hour at a wall with an area of

140 cm². If the temperature gradient across the wall is 15 ⁰C m^-1, calculate the thermal conductivity of the wall.

a)

75.00 W m^-1 K^-1

b)

120.50 W m^-1 K^-1

c)

90.25 W m^-1 K^-1

d)

105.8 W m^-1 K^-1

3.

Two metal bars X and Y have the lengths of 70 cm and 30 cm. Both have the same cross-sectional area. At one end of the metal X, heat is supplied from boiling water at 100ºC and one end of the metal Y is placed in melting ice at 0 ⁰C. Both metal are well-insulated. The temperature at the adjoint is 15⁰C. Calculate the ratio of thermal conductivity between metal X and Y

a)

3.0

b)

1.5

c)

0.35

d)

0.75

4.

Two rods A and B have lengths of 50 cm and 100 cm respectively, with the same cross-sectional area. One end of rod A is heated to 120ºC while the other end of rod B is kept at 30ºC. If both rods are insulated, determine the temperature at the junction of the two rods.

a)

60ºC

b)

75ºC

c)

90ºC

d)

100ºC

5.

Two cylindrical wires P and Q of equal length and cross-sectional area are connected in series. The thermal conductivity of P is three times that of Q. If the temperature at one end of P is 150ºC and at one end of Q is 50ºC, find the temperature at the junction.

a)

100ºC

b)

120ºC

c)

130ºC

d)

110ºC

6.

Two metal rods C and D are of equal length but have different cross-sectional areas. Rod C has a cross-sectional area of 2 cm² and rod D has an area of 4 cm². If the thermal conductivity of C is 1.5 times that of D, and the temperatures at the ends of C and D are 80ºC and 20ºC respectively, calculate the temperature at the junction.

a)

40ºC

b)

50ºC

c)

60ºC

d)

70ºC

7.

A steel rod with initial length of 75.00 cm has a final length of 75.04 cm after its temperature is increased by 50 ⁰C. Determine the linear expansion of the steel rod

a)

15 x 10^-6 /°C

b)

20 x 10^-6 /°C

c)

5 x 10^-6 /°C

d)

11 x 10^-6 /°C

8.

A body with mass 6 kg has heat capacity of 3000 J K^-1. What is the value of specific heat?

a)

600 J kg^-1 K

b)

400 J kg^-1 K

c)

700 J kg^-1 K

d)

500 J kg^-1 K

9.

A constant volume gas thermometer has the reading of 1.50 x 10⁴ Pa at triple point T₁. It gives the reading of 1.95 x 10⁴Pa at temperature T. Calculate the Value of T.

a)

300 K

b)

400 K

c)

273.15 K

d)

353.08 K

10.

Two rods A and B are connected in parallel. Rod A has a thermal conductivity of 2 W/m·K and rod B has a thermal conductivity of 4 W/m·K. If the temperature at one end of rod A is 100ºC and at one end of rod B is 50ºC, find the temperature at the junction.

a)

75ºC

b)

80ºC

c)

70ºC

d)

90ºC

11.

Two metal bars X and Y have lengths of 60 cm and 40 cm respectively. Both bars have the same cross-sectional area. If one end of bar X is heated to 150ºC and one end of bar Y is kept at 30ºC, calculate the temperature at the junction if the thermal conductivity of X is 1.5 times that of Y.

a)

90ºC

b)

80ºC

c)

70ºC

d)

100ºC

12.

A cylindrical rod C has a length of 1 m and a cross-sectional area of 5 cm². If the thermal conductivity of rod C is 3 W/m·K and the temperature difference across the ends is 60ºC, calculate the rate of heat transfer through the rod.

a)

0.9 W

b)

1.5 W

c)

3.0 W

d)

2.5 W

HEAT

Total questions: 12

Worksheet time: 6mins

Similar Resources on Wayground