1.

A container has 'm' gram of a gas. After a white, a little amount of the gas escapes from the container. The presure of the gas left in the container becomes half, and the absolute temperature is reduced to two-third of the original value. The amount of gas, which escaped from the container is

Answer»

`2//3M`
`1//2m`
`1//4M`
`1//6m`

SOLUTION :`PV=nRT-m/MRT` (Since the gas escapes, SUPPOSE m' is the mass left)
Now, `1/2PxxV=(m')/(M)Rxx2/3Torm/M=(4m')/(3M)`
`therefore` Mass of the gas left `m'=3/4` or mass of the gas escaped `=1/4` m


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