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If the pressure and the volumeof certain...

If the pressure and the volumeof certain quantity of ideal gas are halved, then its temperature

A

is doubled

B

becomes one-fourth

C

remains constant

D

is halved

Text Solution

Verified by Experts

The correct Answer is:
B

Ideal gas equal
`pV=muRT`
If pressure and the volume of certain quantity of ideal gas are halved
`(p)/(2)xx(V)/(2)=muR_(0)T_(1)`
`(pV)/(4)=muRT_(1)` (`becauseR` is constant)
`(muRT)/(4)=muRT_(1)`
`T_(1)=(T)/(4)`
In this condition, temperature becomes one-fourth.
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