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Question

Chemistry Question on Ideal gas equation

An LPG cylinder, containing 15kg15\, kg butane at 27C27^{\circ} C and 10atm10\, 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

Answer

3 kg

Explanation

Solution

According to question- T,VT, V are constant, hence from ideal gas equation, we have. p1p2=n1n2=w1w2\frac{p_{1}}{p_{2}} =\frac{n_{1}}{n_{2}}=\frac{w_{1}}{w_{2}} 108=15w2\frac{10}{8} =\frac{15}{w_{2}} or w2=12kgw_{2} =12\, kg Hence, gas leaked =1512=3kg=15-12=3\, kg