Question 2: (a) State Charles’ law with its mathematical expression.
(b) Assume that one dm3 of air near a thermonuclear explosion is heated from 00C to 5460000C. To what volume does the air expands?
Volume of a given mass of a gas is directly proportional to the absolute temperature of the gas.
Or equivalently, the ratio of volume and temperature of a given mass of a gas is always constant at constant pressure.
Mathematical expression of Charles law
At constant pressure and constant mass,
Take a fixed mass of a gas at constant pressure. If a graph of various temperatures and corresponding volumes is plotted, a straight line is obtained. This shows the graphical proof of the law.
Given Initial volume the air, V1 = 1 dm3 Initial temperature, T1 = 00C = 273K
Final temperature, T2 = 546000C = 54600 + 273 = 546273K
Required Final volume, V2
Put values in the formula