Q.

An ideal gas at  27oC is compressed adiabatically to 827 of its original volume.  If  γ=53,  then the rise in temperature is

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a

450 K

b

375 K

c

225 K

d

405 K

answer is B.

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Detailed Solution

T2T1=V1V2γ−1⇒T2=30027853−1=30027823=3002781/32=800322=675K⇒ΔT=675−300=375K
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An ideal gas at  27oC is compressed adiabatically to 827 of its original volume.  If  γ=53,  then the rise in temperature is