Thermodynamics: Practice Problem & Solution
Assertion (A): Work done by a gas in isothermal expansion is more than the work done by the gas in the same expansion adiabatically. Reason (R): Temperature remains constant in isothermal expansion but not in adiabatic expansion.
Solution Explained:
To solve this problem, we apply the core principles of Thermodynamics. Understanding the underlying formula is key to arriving at the correct answer below:
Assertion (A) is true. For the same volume expansion, work done \(W = int P dV\). In isothermal expansion, \(P\) drops slower than in adiabatic expansion (due to heat supply), so the area under the \(P-V\) curve is greater for isothermal. Reason (R) is also true and explains why \(P\) behaves differently, leading to different work done.
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