AP EAMCET · PHYSICS · Thermodynamics
A monatomic gas at a pressure of 100 kPa expands adiabatically such that its final volume becomes 8 times its initial volume. If the work done during the process is 180 J, then the initial volume of the gas is
- A \(1600 \mathrm{~cm}^3\)
- B \(800 \mathrm{~cm}^3\)
- C \(1200 \mathrm{~cm}^3\)
- D \(2000 \mathrm{~cm}^3\)
Answer & Solution
Correct Answer
(A) \(1600 \mathrm{~cm}^3\)
Step-by-step Solution
Detailed explanation
For a monatomic gas, \( \gamma = \frac{5}{3} \). The work done during an adiabatic process is \( W = \frac{P_1V_1}{\gamma - 1} \left[1 - \left(\frac{V_1}{V_2}\right)^{\gamma-1}\right] \).…
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