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  4. The graph of pressure P and ( (1/Volume,(V)) ) of1 mole of an ideal gas at constant temperature is

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Q. The graph of pressure P and $ \left( \frac{1}{Volume,(V)} \right) $ of1 mole of an ideal gas at constant temperature is

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Solution:

From gas equation $ PV=RT=\text{constant} $ where P is pressure, V is volume, JR is gas constant and 7 is temperature $ \therefore $ $ P=\frac{RT}{V} $ ?(i) Equation of straight line is $ y=mx+c $ ?(ii) where m is slope and c is constant. Comparing Eqs. (i) and (ii), we get c = 0, hence it is a straight line with positive slope, which passes through origin.