Question:
The graph of pressure P and $ \left( \frac{1}{Volume,(V)} \right) $ of1 mole of an ideal gas at constant temperature is
The graph of pressure P and $ \left( \frac{1}{Volume,(V)} \right) $ of1 mole of an ideal gas at constant temperature is
Updated On: Aug 1, 2022
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The Correct Option is B
Solution and Explanation
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.
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Concepts Used:
Gas Laws
The gas laws were developed at the end of the 18th century, when scientists began to realize that relationships between pressure, volume and temperature of a sample of gas could be obtained which would hold to approximation for all gases.
The five gas laws are:
- Boyle’s Law, which provides a relationship between the pressure and the volume of a gas.
- Charles’s Law, which provides a relationship between the volume occupied by a gas and the absolute temperature.
- Gay-Lussac’s Law, which provides a relationship between the pressure exerted by a gas on the walls of its container and the absolute temperature associated with the gas.
- Avogadro’s Law, which provides a relationship between the volume occupied by a gas and the amount of gaseous substance.
- The Combined Gas Law (or the Ideal Gas Law), which can be obtained by combining the four laws listed above.