A vessel of volume 5 litres contain a gas at 5 atmospheres . The number of moles of the gas is 16. It is the connected to evacuated vessel of volume 3 litres . Assuming the temperature remains constant throughout th experiment the number of moles transferred to the other vessel is a ) 6 b ) 8 c ) 12 d ) 10
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NSWER
By ideal gas equation, PV = nRT
now we are given that T is constant
We observe that n α PV
also number of moles depend on mass so number of moles will remain conserved
so, product PV will remain conserved because PV is proportional to "n"
so, P
2
(V
1
+V
2
)=P
1
V
1
here V
1
= 10 ltr and V
2
= 4 ltr
so, P
2
(10+4) = 1 x 10 thisgivesP_{2}=
7
5
MPa
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