Question

The pressure exerted by 12 gm of an ideal gas at T°c in a V (l) vessel is 1 atm when the temprature is increased by 10°c at the same volume pressure increased by 10% if the molar of the gas is 120, find T and V

Answer 1

(I) Given P = 1 atm, w = 12 g; T = (t + 273)K; V = V litre

(II) If T = t + 10 + 273 = t + 283 K; V = V litre,

P = 1 + 10/100 = 1.1 atm

Using gas equation, PV = w/m RT

Case I. 1 * V = 12/m R (t + 273) ….(1)

Case II. 1.1 * V = 12/m R (t + 283) ….(2)

From (1) and (2), t = - 137oC or t = 100 K

Also from (1), on substituting t and m (120), V = 0.82 litre