A 5 litre flask contains 0.5 mole each of sulphur dioxide and nitrogen gas at 27°C. Calculate the total pressure (in Pa) of the gas.
249000
498000
747000
996000
DALTON'S LAW OF PARTIAL PRESSURE -
Dalton’s law of partial pressure :It states that the total pressure exerted by a mixture of non-reacting gases occupying a vessel is equal to the sum of the individual pressures which each gases exert if it alone occupied the same volume at a given temperature.
Now, let us have a mixture of 'n' gases, so from the above statement we can conclude that -
Here, P = Pressure exerted by the mixture of gases
P1,P2. . . . . . Pn = Partial pressure of the component gases.
Partial pressure of SO2
PSO2 = nRT / V = 0.5 × 8.314 × 300 / 5 × 10–3 = 2.49 × 105 Nm–2 = 2.49 × 105 Pa
Similarly PN2 = 2.49 × 105 Pa
Following Dalton’s Law
PTotal = PN2 + PSO2 = 2.49 × 105 Pa + 2.49 × 105 Pa = 4.98 × 105 Pa