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Two flasks R and S of volume V(1)andV(2)...

Two flasks R and S of volume `V_(1)andV_(2)` contain same gas at pressure `P_(1)andP_(2)` respectively at the same temperature. Pressure of the gas when the flasks R and S are connected by a tube of negligible volume is

A

`(P_(1)V_(1)+P_(2)V_(2))/(V_(1)+V_(2))`

B

`(P_(1)V_(1)+P_(2)V_(2))/(2(V_(1)+V_(2)))`

C

`(P_(1)V_(2)+P_(2)V_(1))/(V_(1)+V_(2))`

D

`((P_(1)+P_(2))(V_(1)+V_(2)))/((V_(1)+2V_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
Number of moles of gas in two flasks are
`n_(1)=(P_(1)V_(1))/(RT)andn_(2)=(P_(2)V_(2))/(RT)because n=n_(1)+n_(2)`
`therefore P=((n_(1)+n_(2))RT)/(V_(1)+V_(2))=(P_(1)V_(1)+P_(2)V_(2))/(V_(1)+V_(2))`
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