KTG (Comprehension)

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n moles of Helium gas is filled in a thermally insulated vessel at a temperature T. From a very small orifice of area A gas is coming out. Given V is volume of container and M is molecular mass of gas.

[Assume outside pressure to be zero.]

Question 1
Velocity with which gas is coming out is?

Question 2
Force exerted by escaping gas on container will be?

#Physics #Thermal physics

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5 Answers

Devil ·2010-03-21 01:13:57

The 1st qsn just needs an application of Bernoulli-eqn...

PV=nRT, so P comes out to be nRTV.

Density d= nMV

Now applying Bernoulli, we have

nRTV=nMk²2V, where k is the efflux vel.

Solve for k.

Force is A.nMVk².

Correct me if wrong.

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Tapas Gandhi ·2010-03-21 05:00:55

Force seems correct.
Could you solve for efflux velocity thats more important part?

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Devil ·2010-03-23 10:00:58

I've solved for that - k=\sqrt{\frac{2RT}{M}} .

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Tapas Gandhi ·2010-03-23 11:02:03

Sorry, but the ans is INCORRECT...

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Tapas Gandhi ·2010-03-30 23:35:47

Can anyone solve this???

CORRECT ANSWER:
v=\sqrt{\frac{5RT}{M}}

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KTG (Comprehension)

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