Question:
If \(5\) moles of an ideal gas expands from \(10\) L to a volume of \(100\) L at \(300k\) under isothermal and reversible condition then work, \(W\), is \(- x J\). The value of x is \((even \;n = 8.314 \;J \;K^{-1} mol^{-1})\)
If \(5\) moles of an ideal gas expands from \(10\) L to a volume of \(100\) L at \(300k\) under isothermal and reversible condition then work, \(W\), is \(- x J\). The value of x is \((even \;n = 8.314 \;J \;K^{-1} mol^{-1})\)
Updated On: Jan 13, 2026
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Correct Answer: 2
Solution and Explanation
The Correct Answer is : 2.303
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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.