Question

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

Answer 1

Correct Answer - 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.