If a certain gas is kept at a constant temp its pressure var

If a certain gas is kept at a constant temp, it\'s pressure varies inversely with its volume. If the pressure is 1.5 atmospheres when the volume is 8 Liters, find the pressure if the volume is increased to 10 Liters.

Solution

Let the pressure be denoted by P and the volume by V and let k be the constant of proportionality. Then, we have P= k/V. On substituting P = 1.5 and V = 8 in this equation, we get 1.5 = k/8 or k = (1.5)*8 = 12. Now, when V = 10 liters, we have P = 12/10 = 1.2 atmospheres.