A balloon containing an ideal gas has a volume of `10 litre` and temperature of `17^(@)`. If it is heated slowly to `75^(@)C`, the work done by the gas inside the balloon is (neglect elasticity of the balloon and take atmospheric pressure as `10^(5)` Pa)

Answer

2

Explanation

Since elasticity of ballon is negligible `:.` pressure inside ballon `~~` pressure outside ballon `= P_(atm)`
`:. W = P_(atm) DeltaV`
`V_("in") = 10 litre`.
`(V_("in"))/(T_("in")) = (V_("fin"))/(T_("fin")) rArr V_("final") = ((V_("in")T_("final"))/(T_("in"))) litre`.
`rArr W = P_(atm) V_("in") (T_("final")/(T_("in"))-1)`
`rArr 10^(5) xx 10^(-2) ((58)/(290)) = 200J`