Question:
Charles' law is represented mathematically as :
Charles' law is represented mathematically as :
Updated On: Jan 30, 2025
- $V_t = KV_0 t$
- $V_t= \frac{KV_0}{t}$
- $V_t = V_0 \left( 1 + \frac{273}{t}\right)$
- $V_t = V_0\left( 1 + \frac{t}{273}\right)$
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The Correct Option is D
Solution and Explanation
Charles' law is represented mathematically as $V _{ t }= V _{0}\left(1+\frac{ t }{273}\right)$
It can also be represented as $V _{ t }= V _{0}\left(\frac{ T }{ T _{0}}\right)$ or $V \propto T$
At constant pressure, volume of the given mass of the gas is directly proportional to absolute temperature.
It can also be represented as $V _{ t }= V _{0}\left(\frac{ T }{ T _{0}}\right)$ or $V \propto T$
At constant pressure, volume of the given mass of the gas is directly proportional to absolute temperature.
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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.