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Question

Two vessels connected by a valve of negligible volume. One container (I) has 2.8 g of N2 at termperature T1(K). The other container (II) is completely evacuated. The container (I) is heated to T2 (K) while ontainer (II) is maintained at T2/3 (K). volume of vessel (I) is half that of vessel (II). If the valve isopened then what is the weight ratio of N2 in both vessel (WI/WII)?

A
1:2
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B
1:3
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C
1:6
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D
3:1
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Solution

The correct option is C 1:6

Let x mole of N2 present into vessel II and P is final pressure of N2
P(2V)=xR(T2/3) ...(1) P(V)=(0.1x)RT2 ...(2)
Dividing the equation 1 by equation 2, we get
2=x3(0.1x)
x=0.6/7 mole;
0.67×282.4 g N2
II has 2.4 g N2 and I has 0.4 g of N2
WIWII=0.42.41:6

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