SATHEE: Heat and Thermodynamics 1 Question 18

Heat and Thermodynamics 1 Question 18

18. A piece of ice (heat capacity $= 2100 J k g^{- 1}^{\circ} C^{- 1}$ and latent heat $= 3.36 \times 10^{5} J k g^{- 1}$ ) of mass $m$ gram is at $- 5^{\circ} C$ at atmospheric pressure. It is given $420 J$ of heat so that the ice starts melting. Finally when the ice-water mixture is in equilibrium, it is found that $1 g$ of ice has melted. Assuming there is no other heat exchange in the process, the value of $m$ is

(2010)

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Answer:

Correct Answer: 18. 8

Solution:

Language of question is slightly wrong. As heat capacity and specific heat are two different physical quantities. Unit of heat capacity is $J - k g^{- 1}$ not $J - k g^{- 1} -^{\circ} C^{- 1}$ . The heat capacity given in the question is really the specific heat. Now applying the heat exchange equation.

$420 = (m \times 10^{- 3}) (2100) (5) + (1 \times 10^{- 3}) (3.36 \times 10^{5})$

Solving this equation, we get

$m = 8 g$

$∴$ The correct answer is 8 .

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Heat and Thermodynamics 1 Question 18

Answer:

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