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A vessel has 6g of hydrogen at pressure ...

A vessel has 6g of hydrogen at pressure P and temperature 500K. A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is P/2 and temperature falls to 300 K ?

A

2 g

B

3 g

C

4 g

D

1 g

Text Solution

Verified by Experts

The correct Answer is:
D
As `PV=(m)/(M)RT`
`therefore` Initially, `PV=(6)/(M)Rxx500" " ...(i)`
and finally, `(P)/(2)V=((6-x))/(M)Rxx300` (if x g of gas leaks out) …(ii)
Dividing eqn. (i) by (ii), we get `2=(6)/(6-x)xx(5)/(3)`
On solving, we get `x=1g`
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