Question:
The correct value of the gas constant 'R' is close to
The correct value of the gas constant 'R' is close to
Updated On: Jul 26, 2024
- 0.082 L atm K
- 0.082 L atm $K^{-1} mol^{-1}$
- 0.082 L $atm^{-1} K mol^{-1}$
- 0.082 $L^{-1} atm K mol^{-1}$
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The Correct Option is B
Solution and Explanation
The numerical value of R depends upon the units in which pressure and volume are expressed.
When pressure is expressed in atmosphere and volume in litres, then the value of R at STP for 1 mole of gas is
$\, \, \, \, \, \, \, \, \, \, R=\frac{1 atm \times 22.414\, L}{1 mole \times 273.15\, K}$
$\, \, \, \, \, \, \, \, \, \, = 0.082 L atm K^{-1} mol^{-1}$
When pressure is expressed in atmosphere and volume in litres, then the value of R at STP for 1 mole of gas is
$\, \, \, \, \, \, \, \, \, \, R=\frac{1 atm \times 22.414\, L}{1 mole \times 273.15\, K}$
$\, \, \, \, \, \, \, \, \, \, = 0.082 L atm K^{-1} mol^{-1}$
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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.