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## QuestionMathsClass 8

Under the condition that the temperature remains constant, the volume of gas is inversely proportional to its pressure. If the volume of gas is $$630$$ cubic centimetres at a pressure of $$360\;mm$$ of mercury, then what will be the pressure of the gas if its volume is $$720$$ cubic centimetres at the same temperature?

Since, at constant temperature pressure and volume of a gas are inversely proportional. Let the required pressure be $$p$$.

Now, $$630\times 360=720\times x$$
$$\Rightarrow$$ $$\frac{630\times 360}{720}=x$$
$$x=315$$
So, the required pressure is $$315\;mm$$ of mercury.