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A cyclindrical container of volume 44...

A cyclindrical container of volume `44.8 litres` is containing equal no.of moles (in integer no. ) of an ideal
monoatomic gas in two sections A and B separeted by an adiabatic frictionless piston as show in figure
The initinal temperature and pressure of gas in both section B becomes `(1//8)^(th)` of initial volume .

Given : `R = 2 cal //"mole" -K, C_(v,m)` of monoatmic gas `=(3)/(2)R`,
At 1 atm & `0^(@)` ideal gas occupy `22.4 liter`.
What will be the final pressure in contianer B:

A

2 atm

B

8 atm

C

16 atm

D

32 atm

Text Solution

Verified by Experts

The correct Answer is:
D
`P_(1)V_(1)^(gamma)= P_(2)V_(2)^(gamma)`
`V_(2)=(1)/(8) V_(1)" " gamma=(5)/(3)`
`1 xx 22.4^(gamma) =P_(2)(2.8)^(gamma)`
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