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If the pressure of a gas is reduced to h...

If the pressure of a gas is reduced to half and temperature is doubled, its volume becomes

A

`(V)/(4)`

B

`2 V ^(2)`

C

`6V`

D

`4V`

Text Solution

Verified by Experts

The correct Answer is:
D
From idea gas equation,
`pV = RT`
`V = ( RT)/( P )`
According to given condition,
Pressure `p . = (p)/(2)`
Temperature T.= 2 T
Then, `p .V. = RT.`
`(p)/(2) V . = R xx 2 T`
`(p)/(2) V . 2 RT`
`V . = ( 2 RT)/(( p )/(2)) = ( 4 RT)/(rho ) = 4 V`
Hence, volume becomes 4 times.
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