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Question

A vessel has 6g of oxygen at pressure P and temperature 400K. A small hole is made in it so that oxygen leaks out. How much oxygen leaks out if the final pressure is at P2 and temperature 300K?

A
5g
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B
4g
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C
2g
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D
3g.
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Solution

The correct option is C 2g
PV=mMRT(for m grams of gas) .(i)
PV=mMRT .(ii)
Dividing equation (ii) by (i) we get
PP=mmT;T
m=PP×TT×m=(P/2P)×400300×6=4g
Mass of oxygen leaked, Δm=mm=64=2g.

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