A gas at NTP is suddenly compressed to o...

A gas at NTP is suddenly compressed to one-fourth of its original volume. If. `lambda` is supposed to be `(3)/(2)`, then the final perssure is

4 atmosphere

`3/2` atmosphere

8 atmosphere

`1/4` atmosphere

Text Solution

Verified by Experts

The correct Answer is:

`P_(2) = P_(1) (V_(1)/V_(2))^(lambda)`
(Adiabatic because sudden process)
`r = 3/2, V_(2) = V_(1)/4, P_(1) = 1 atm`
`P_(2) = 1(4)^(3//2) = 8` atm

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