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If the pressure and the volume of certai...

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

A

is doubled

B

becomes one-fourth

C

remains constant

D

becomes four times

Text Solution

Verified by Experts

The correct Answer is:
B
As `(P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2))therefore T_(2)=T_(1)(P_(2)V_(2))/(P_(1)V_(1))`
Here, `P_(1)=P,V_(1)=V,T_(1)=T,P_(2)=(P)/(2),V_(2)=(V)/(2)`
`therefore T_(2)=(T((P)/(2))((V)/(2)))/(PV)=(T)/(4)`
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