Q.

An ideal gas at 127° C is compressed suddenly to 827 of its initial volume. If γ=53 for an ideal gas, then rise in its temperature is

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a

405 K

b

225 K

c

450 K

d

500 K

answer is B.

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Detailed Solution

 For an adiabatic process, TVγ1= constant 

T2T1=V1V2γ1=278531=27823=94T2=94T1=94×400=900 KT2T1=900400=500 K

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An ideal gas at 127° C is compressed suddenly to 827 of its initial volume. If γ=53 for an ideal gas, then rise in its temperature is