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Two flasks X and Y have capacity IL and ...

Two flasks X and Y have capacity IL and 2L respectively and cach of them contains 1 mole of a gas. The temperatures of the flasks are so adjusted that average speed of molecules in X is A twice as those in Y. The pressure in flask X would be:

A

same as that in Y

B

half of that in Y

C

twice of that in Y

D

8 times of that in Y

Text Solution

Verified by Experts

The correct Answer is:
D
According to kinetic gas equation
`PV = (1)/(3) mN u^(2)`
`PV prop u^(2)` for a particular gas
In flask `X : P_(x) (1) prop u_(x)^(2)`
In flask `Y : P_(y) (2) prop u_(y)^(2)`
Now `u_(x) = 2u_(y)`
`:. (P_(x))/(2P_(y)) = (u_(x)^(2))/(u_(y)^(2)) = (4u_(y)^(2))/(u_(y)^(2)) " or " P_(x) = 8P_(y)`
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