Thermodynamics: Practice Problem & Solution
Assertion (A): The efficiency of a carnot cycle depends on the nature of the gas used. Reason (R): Adiabatic process is a part of carnot cycle and work done in adiabatic process does not depend on nature of gas.
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:
The efficiency of a Carnot engine \(\eta = 1 - \frac{T_c}{T_h}\) depends only on the temperatures of the hot and cold reservoirs, not the nature of the working gas. Work done in an adiabatic process \(W = \frac{nR(T_1 - T_2)}{1 - \gamma}\) depends on \(gamma\) (ratio of specific heats), which is specific to the nature of the gas. Therefore, both Assertion (A) and Reason (R) are false.
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