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Gay Lussac’s Law - Practice Questions & MCQ

Updated on Sep 18, 2023 18:35 AM | #JEE Main

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A pressure cooker reduces cooking time for food because -

A pressure cooker reduces cooking time for food because

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The Gas Laws - Gay Lussac’s Law (Pressure - Temperature Relationship)

Gay-Lussac’s Law (Pressure-Temperature Relationship): 
Scientist Joseph Gay-Lussac as a result of his experiments gave a general relation between the temperature and the pressure of a gas. He found that the pressure of a given mass of a gas at constant volume is directly proportional to the temperature. 
So, Gay-Lussac's Law or Pressure-Temperature Law can be stated as, At constant volume, the pressure of a fixed amount of a gas is directly proportional to the temperature.
The Law may be expressed mathematically as

\begin{array}{l} \mathrm{P} \propto \mathrm{T}(\text { volume, } \mathrm{n}\text { are constant } \\\\ \text {or } \mathrm{P}=k \mathrm{T} \\ \\ \frac{P}{T}=k,(\text { constant }) \end{array}

The above relationship can also be obtained by combining Boyle's Law and Charles Law. For different conditions of pressure and temperature.

Plot between P vs T

Physical Significance of Gay Lussac's Law : 
It is seen that the pressure of the inflated tyres of automobiles is constant but in summers on a hot sunny day when the temperature IS high, then the pressure inside the tyres increases, and they may burst. Similarly in winters, on a cold morning, when the temperature is low, then the pressure inside the tyres decreases considerably.

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