The work of 146 kJ is performed in order to compress one kilomole of a gas adiabatically and in this process the temperature of the gas increases by 7°C. The gas isR=8⋅3 J mol−1K−1
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a
diatomic
b
triatomic
c
monoatomic
d
mixture of monoatomic and diatomic
answer is A.
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Detailed Solution
For adibatic process, dQ = 0 i.e., dU = -dW∴ nCVdT=146×103JIf the the degrees of freedom, thennfR2×7=146×103 ∴ 103×f×8⋅3×72=146×103Solving, we get f=5⋅02≈5So, the gas is diatomic,