1.

A gas at N.T.P. is suddenly compressed to one fourth of its original volume. Ifgamma is supposed to be 3/2 then final pressure is :

Answer»

<P>4 atmospheres
`(3)/(2)` atmospheres
8 atmospheres
1/4 atmospheres

Solution :Let `V_(1)=V. P_(1)=1` atmospheres
`V_(2)=V//4, P_(2)=?, gamma=3//2`
Since `P_(1)V_(1)^(gamma) =P_(2)V_(2)^(gamma)`
`therefore P_(2)=P_(1) ((V_(1))/(V_(2))^(gamma))`
`P_(2) =1 ((V)/(V//4))^(3//2)`
`P_(2)=8` atmosphere
Thus, correct choice is (c).


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