28g of each of the following gases are taken at 27 and 10atm pressure is leaking.Aftercone day, its pressure dereased to 8atm.The quantityvof the gas leaked is
1kg
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Explanation:
Ideal gas equation
PV = nRT
Volume of container(V) remains same during leakage.
So initially
P1 = 10 atm
T1 = 57°C = 330 K
W1 = 28g
P1V = n1RT1 (1)
P2= 5 atm
T2 = 27°C = 300K
P2V = n2RT2 (2)
Dividing (1) by (2)
P1/P2 = n1T1/n2T2
10/5 = 330/300 × n1/n2
20/11 = n1/n2
But we know n1/n2=W1/W2
W1/W2 = 20/11
W2 = 28×11/20
W2 = 15.4g
Leaked mass = W1-W2 = 28-15.4 = 12.6g
Hence,12.6g N2 leaked out.
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