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pressure of He gas confined in a steel chamber drops from 4atm to 1atm in 4 hours due to diffusion through a pin hole in the steel chamber.of an equimolar mixture of He and methane gas at 20atm and at the same temperature are confined in the same chamber what will be the partial pressure of He methane after 1 hour assume rate of diffusion to be linear function of has pressure and inverse function of square root of molar masses

pressure of He gas confined in a steel chamber drops from 4atm to 1atm in 4 hours due to diffusion through a pin hole in the steel chamber.of an equimolar mixture of He and methane gas at 20atm and at the same temperature are confined in the same chamber what will be the partial pressure of He methane after 1 hour assume rate of diffusion to be linear function of has pressure and inverse function of square root of molar masses

Grade:11

1 Answers

Jayanshu Rohit Bhavsar
30 Points
2 years ago

−dtdP​=M​KP​⇒∫P0​P​−PdP​=M​K​∫0t​dt
⇒ln(PP0​​M​Kt​)⇒ln4=4​4K​=2K
lnP10​=2K​⇒PHe​=7.07atm
Also,

ln(PP0​​)He​ and

ln(PP0​​)CH4​​=4Kt​ 
⇒(PP0​​)He​=(PP0​​)CH4​2​⇒7.0710​=PCH4​2​100​
⇒PCH4​​=8.4atm

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