An ideal gas is kept in a long cylindrical vessel fitted with a frictionless piston of cross-sectional area `10cm^(2)`and weight 1kg. The length of the gas column in the vessel mow taken into a spaceship revolving round the earth as satellite. The air pressure in the spaceship is amintained at 100kPa. Find the length of the gas column in the cylinder.

Explanation

`((P_1)(V_1) = (P_2)(V_2))`
` rArr (mg/A + (P_0)) Al = (P_0)Al'`
` rArr ((1 xx 9.8/10 xx (10^-4))+(10^5)) 0.2 = (10^5)l'`
` (9.8 xx (10^3) + (10^5)) xx 0.2 = (10^5)l' `
` = 109.8 xx (10^3) xx 0.2 =(10^5)l'`
` rArr l' = (1098 xx 0.2/(10^2))`
` = 0.2196m = 0.22m ~~22cm` .