Question

A sample of sulfur dioxide gas (SO₂) is at a pressure of 1.40 atm and a temperature of 55°C.

(a) Calculate the density of the gas.

(b) How would the density change if the pressure is increased at constant temperature?

(c) How would the density change if the temperature is increased at constant pressure?

Answer 1

Ans

a) The ideal gas law can be modified to calculate the density of the gas.

It is given as :

pM = dRT

where p is pressure , M is molar mass , d is density , R is universal gas constant and T is temperature

So putting all the values we get :

1.40 x 64.066 = d x 0.0821 x 328.15

d = 3.33 g/cm³

b) Since pressure is directly proportional to the density according to the formula mentioned , pM = dRT ,

the density of the gas increases as the pressure is increased.

c) Temperature is inversely proportional to the density of the gas. So when the temperature is increased , the density of the gas decreases.