JEE Mains · Physics · STD 11 - 11. thermodynamics
A gas is compressed from a volume of \(2\,m^3\) to a volume of \(1\, m^3\) at a constant pressure of \(100\, N/m^2\). Then it is heated at constant volume by supplying \(150\, J\) of energy. As a result, the internal energy of the gas
- A increases by \(250\, J\)
- B decreases by \(250\, J\)
- C increases by \(50\, J\)
- D decreases by \(50\, J\)
Answer & Solution
Correct Answer
(A) increases by \(250\, J\)
Step-by-step Solution
Detailed explanation
As we know, \(\Delta Q=\Delta u+\Delta w\) (Ist law of thermodynamics) \(\Rightarrow \Delta \mathrm{Q}=\Delta \mathrm{u}+\mathrm{P} \Delta \mathrm{v}\) or \(150=\Delta u+100(1-2)\) \(=\Delta u-100\) \(\therefore \Delta u=150+100=250 \mathrm{J}\) Thus the internal energy of the…
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