Question 2: (a) State Charles’ law with its mathematical expression.

(b) Assume that one dm^{3} of air near a thermonuclear explosion is heated from 0^{0}C to 546000^{0}C. To what volume does the air expands?

Answer

Charles's Law

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.

Part (b)

Given Initial volume the air, V_{1} = 1 dm^{3} Initial temperature, T_{1} = 0^{0}C = 273K

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