JEE Mains · Physics · STD 11 - 11. thermodynamics
A litre of dry air at \(STP\) expands adiabatically to a volume of \(3\) litres. If \(\gamma=1.40,\) the work done by air is\((3^{1.4}=4.6555)\) [Take air to be an ideal gas \(]\)
- A \(90.5 \;J\)
- B \(48 \;J\)
- C \(60.7 \;J\)
- D \(100.8 \;J\)
Answer & Solution
Correct Answer
(A) \(90.5 \;J\)
Step-by-step Solution
Detailed explanation
\(\mathrm{W}=\frac{\mathrm{nR}\left(\mathrm{T}_{1}-\mathrm{T}_{2}\right)}{\gamma-1}=\frac{\mathrm{P}_{1} \mathrm{V}_{1}-\mathrm{P}_{2} \mathrm{V}_{2}}{0.4}\) \(W=\frac{100-\frac{100}{4.6555} \times 3}{0.4}=88.90\;J\)
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