Question

Two different masses m and 3m of an ideal gas are heated seperately in a vessel of constant volume. The graph of pressure P versus the absolute temperature T for two gases are shown in Fig as A and B. The ratio of slopes of curve B to curve A is

(1) 3 : 1

(2) 1 : 3

(3) 9 : 1

(4) 1 : 9

Answer 1

(1) 3 : 1

For an ideal gas of molecular mass M having mass m, we have

At constant volume P vs T graph is a straight line. The slope of graph is directly proportional to m. Therefore