Work Done in Isothermal vs Adiabatic Expansion – Rankers Physics

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.  
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

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.

Leave a Reply

Your email address will not be published. Required fields are marked *