Q59 / 200 · NEET 2024 (Re-NEET) · Chemistry

Choose the correct statement for the work done in the expansion and heat absorbed or released when 5 litres of an ideal gas at 10 atmospheric pressure isothermally expands into vacuum until volume is 15 litres:

A
Both the heat and work done will be greater than zero
B
Heat absorbed will be|less than zero and work done will be positive
Correct answer
C
Work done will be zero and heat will also be zero
D
Work done will be greater than zero and heat will remain zero

Solution

Since it is isothermal, $\Delta \mathrm{T}=0$ $\Delta \mathrm{U}=\mathrm{nC} \mathrm{C}_{\mathrm{v}} \Delta \mathrm{T}=0$ Since expansion is taking place against vacuum $P_{\text {ext }}=0$ $W=-P$ ex $\Delta V=0$ From first law of thermodynamics, $\Delta U=q+W$ $0=q+0$ $q=0$

Hence, the correct answer is option: 'C'.

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