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An LPG cylinder, containing 15 kg butanc...

An LPG cylinder, containing 15 kg butance at `27^@C` and 10 atm pressure, is leaking. After one day, its pressure decreased to 8 atm. The quantity of gas leaked is

A

1 kg

B

2 kg

C

3 kg

D

4 kg

Text Solution

Verified by Experts

The correct Answer is:
C
According to ideal gas equation, `PV = nRT`
`:. (P_(1))/(P_(2)) = (n_(1))/(n_(2))` [where V, T are constant]
or `(P_(1))/(P_(2)) = (w_(1))/(w_(2))`
Hence `(10)/(8) = (15)/(w_(2)) " or " w_(2) = 12 kg`
`:.` Gas leaked `= 15 - 12 = 3 kg`
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