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For a given mass of a gas , if pressure ...

For a given mass of a gas , if pressure is reduced to half and its temperature is doubled, then volume V will become `:`

A

4V

B

`2V^(2)`

C

`V//4`

D

8V

Text Solution

Verified by Experts

The correct Answer is:
A
`p_(1) = p , p_(2) = p //2, T_(1) = T, T_(2) = 2T`,
`V _(1) = V, V_(2) = ? `
`( p_(1) V_(1))/( T_(1)) = ( p_(2)V_(2))/(T_(2))`
or `V_(2) = ( p _(1) V_(1) T_(2))/(p_(2) T_(1))`
`= ( p xx V xx 2T)/( p //2 xx T ) = 4V`
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