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Question

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?

Answer

Since, at constant temperature pressure and volume of a gas are inversely proportional. Let the required pressure be \(p\).
Answer for 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?
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.
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