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The diameter of a balloon filled by 8 mo...

The diameter of a balloon filled by 8 moles of He gas is 10 cm. If 7 moles of He gas effuses out in the night, then what would be the diameter of balloon in the next morning? Assume constant pressure and temperature for the gas.

A

5 cm

B

`(7/8)^(1//3) xx 5 cm`

C

`(8/7)^(1//3) xx 5 cm`

D

20 cm

Text Solution

Verified by Experts

The correct Answer is:
A
`(V_1)/(n_1) = (V_2)/(n_2) = (4//3 pi (10//2)^(2))/(8)`
`= (4//3pi(d//2)^(2))/1 implies d = 5 cm`.
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