At 27°C two moles of an ideal gas (γ=3/2) occupy a volume V. The gas expands adiabatically to a volume 2V. Final temperature of the gas approximately is
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a
189 K
b
212 K
c
248 K
d
179 K
answer is B.
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Detailed Solution
Here V1=V,V2=2V,T1=300KAdiabatic relation TV γ−1= constant T1V1γ−1=T2V2γ−1T2=T1V1V2γ−1=300121/2T2=212K.
At 27°C two moles of an ideal gas (γ=3/2) occupy a volume V. The gas expands adiabatically to a volume 2V. Final temperature of the gas approximately is