A 5-litre cylinder contained 10 moles of oxygen gas a t27^(@) C.Dueto sudden leakage through the hole, all the gas escaped into the atmosphere and the cylinder got empty. If the atmospheric pressure is 1.0 atmosphere, calculate the work done by the gas.( 1 L atm = 101.3 J)

A 5-litre cylinder contained 10 moles of oxygen gas a t27^(@) C.Dueto

1.	A 5-litre cylinder contained 10 moles of oxygen gas a t27^(@) C.Dueto sudden leakage through the hole, all the gas escaped into the atmosphere and the cylinder got empty. If the atmospheric pressure is 1.0 atmosphere, calculate the work done by the gas.( 1 L atm = 101.3 J)
Answer» Solution :`V_("initial") = 5L, T = 27^(@)C = 27 + 273 K = 300 K` `V _("final") = (nRT)/(P) = (10 xx 0.0821 xx 300)/( 1.0) = 246.3L` `Delta V = V_("final") - V_("initial") = 246.3 -5= 241.3 L` `W _(exp) = - PDeltaV = - 1 xx 241.3 L atm= - 241.3 xx 101 . 3 J = - 24443.7 J`