AP EAMCET · PHYSICS · Thermodynamics
If 5.6 litres of a monoatomic gas at STP is adiabatically compressed to 0.7 litres, then the work done on the gas is nearly
(R - Universal gas constant)
- A 307 R
- B 357 R
- C 367 R
- D \(407 R\)
Answer & Solution
Correct Answer
(A) 307 R
Step-by-step Solution
Detailed explanation
Monoatomic gas: \(\gamma=5/3\) \(\frac{T_2}{T_1} = \left(\frac{V_1}{V_2}\right)^{\gamma-1} = \left(\frac{5.6}{0.7}\right)^{5/3-1} = 8^{2/3} = 4\) Work done on gas: \(W = \frac{nR(T_2-T_1)}{\gamma-1} = \frac{nR(4T_1-T_1)}{5/3-1} = \frac{3nRT_1}{2/3} = \frac{9}{2}nRT_1\) Number of…
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