1.

A large irregularly-shaped closed tank is first evacuated and then connected to a 50-litre cylinder containing compressed nitrogen gas. The gas pressure in the cylinder, originally at 21.5 atm, falls to 1.55 atm after it is connected to the evacuated tank. Calculate the volume of the tank.

Answer»

Solution :Let the volume of the TANK be V LITRES.
AS the no. of moles of `N_(2)` before and after connecting it to the tank will be same,
`(21.5 xx 50)/(RT) = (1.55 xx (50 + V))/(RT) ""[n = (pV)/(RT)]`
`(("moles of " N_(2) " before"),("CONNECTION")) (("moles of " N_(2) " after"),("connection"))`
`therefore V = 643.5` litres


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