1 g of a liquid is converted to vapour at a pressure of pressure. If 10% of the heat supplied is used for increasing the volume by during this phase change, then the increase in internal energy in the process will be: [2023]

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Solution

Q.
1 g of a liquid is converted to vapour at $3 \times 10^{5} Pa$ pressure. If 10% of the heat supplied is used for increasing the volume by $1600 {cm}^{3}$ during this phase change, then the increase in internal energy in the process will be: [2023]

1 $4800 J$

2 $4320 J$

3 $4.32 \times 10^{8} J$

4 $432000 J$

Ans.
(2)

$Work done = P Δ V$

$= 3 \times 10^{5} \times 1600 \times 10^{- 6} = 480 J$

Only 10% of heat is used in work done.

$Hence Δ Q = 4800 J$

The rest goes into internal energy, which is 90% of heat.

$Change in internal energy = 0.9 \times 4800 = 4320 J$

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