Two glass bulbs A and B are connected by a very small tube having a stop cock. Bulb A has a volume of 100 `cm^(3)` and contained the gas, while bulb B was empty. On opening th stop cock. The pressure fell down to 40%. The volume of the bulb B must be:

Options

A. `75cm^(3)`
B. `125cm^(3)`
C. `150cm^(3)`
D. `250 cm^(3)`

Answer

3

Explanation

`V_(A)=100" "V_(B)=Vml`
`P_(A)V_(A)=P_(A)'V'" Where"V'=V_(A)+V_(B)=(V_(A)+V)ml`
`P_(A)100=(2)/(5)P_(A)xxV'" "P_(A)=(P_(A)xx40)/(100)=(2)/(5)P_(A)`
`250V'" "impliesV_(A)+V=250ml`
`V=150ml`