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# Thermodynamics doubt

Doubt question:Find the rate $$v$$ with which helium flows out of a thermally insulated vessel into vacuum through a small hole. The flow rate of gas inside the vessel is assumed to be negligible under these conditions. The temperature of Helium in the vessel is $$1000 K$$.

Irodov: 2.42

My approach to the problem is stated as under.

The answer provided, unfortunately, turns out to be $$3.3 km/s$$. Please help me finding my error out, thanks.

Note by Swapnil Das
3 weeks ago

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bhai tera tarika thik hai par tu pressure eergy wali term bhul raha hai matlab tune pressure ka kuch kiya hi nahi that's a blunder ! @Swapnil Das · 1 week, 2 days ago

https://books.google.co.in/books?id=t8-TM8KTr-sC&pg=PA279&lpg=PA279&dq=Find+the+rate+with+which+helium+flows+out+of+a+thermally+insulated+vessel+into+vacuum+through+a+small+hole.+The+flow+rate+of+gas+inside+the+vessel+is+assumed+to+be+negligible+under+these+conditions.+The+temperature+of+Helium+in+the+vessel+is+.&source=bl&ots=A0vKKyQuLC&sig=bLnTtYZLz6nysMyxpTaYrbhG4g8&hl=en&sa=X&ved=0ahUKEwi5upPzra3QAhVErI8KHe39BVoQ6AEIIDAB#v=onepage&q=Find%20the%20rate%20with%20which%20helium%20flows%20out%20of%20a%20thermally%20insulated%20vessel%20into%20vacuum%20through%20a%20small%20hole.%20The%20flow%20rate%20of%20gas%20inside%20the%20vessel%20is%20assumed%20to%20be%20negligible%20under%20these%20conditions.%20The%20temperature%20of%20Helium%20in%20the%20vessel%20is%20.&f=false · 2 weeks, 3 days ago