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A gas is found to obey the law P^(2)V = ...

A gas is found to obey the law `P^(2)V = constant`. The initial temperature and volume are `T_(0) and V_(0)`. If the gas expands to a volume `3 V_(0)`, its final temperature becomes

A

`(T_(o))/3`

B

`(T_(o))/sqrt3`

C

`3 T_(o)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
`p^(2)V` = constant
`" "p=(nRT)/(V)orp=(CT)/(V)" "(C="constant")`
`therefore" "(T^(2))/(V)="constant"orT propsqrtV `
V is incresased to 3 times. Hence T will increase `sqrt3` times.
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DC PANDEY-THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES-Check point 14.4
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  12. A gas has volume V and pressure p. The total translational kinetic ene...

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  16. Temperature remaining constant, the pressure of gas is decreased by 20...

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  18. In the given (V-T) diagram, what is the relation between pressure P(1)...

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