Question:
The ratio of specific heat at constant volume $ {{C}_{V}} $ for monoatomic gas to that of polyatomic gas i.e. $ {{C}_{V}} $ (monoatomic)/ $ {{C}_{V}} $ (polyatomic) is
The ratio of specific heat at constant volume $ {{C}_{V}} $ for monoatomic gas to that of polyatomic gas i.e. $ {{C}_{V}} $ (monoatomic)/ $ {{C}_{V}} $ (polyatomic) is
Updated On: May 12, 2022
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The Correct Option is D
Solution and Explanation
: $ \frac{{{C}_{V}}\,for\text{ }monoatomic\text{ }gas}{{{C}_{V}}for\text{ }polyatomic\text{ }gas}=\frac{3R/2}{6R/2}=\frac{3R}{6R}=\frac{1}{2} $
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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.
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