Question:
Which of the following represents Gay Lussac's law?
I. $\frac{P}{T}=$ constant
II. $P _{1} T _{2}= P _{2} T _{1}$
III. $P _{1} V _{1}= P _{2} V _{2}$
Choose the correct option.
Which of the following represents Gay Lussac's law?
I. $\frac{P}{T}=$ constant
II. $P _{1} T _{2}= P _{2} T _{1}$
III. $P _{1} V _{1}= P _{2} V _{2}$
Choose the correct option.
Updated On: Jun 17, 2022
- I, II and III
- II and III
- I and III
- I and II
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The Correct Option is D
Solution and Explanation
$\frac{P}{T}=$ constant (gay lussac's law)
$\Rightarrow \frac{P_{1}}{T_{1}}=\frac{P_{2}}{T_{2}}$
$ \Rightarrow P_{1} T_{2}=P_{2} T_{1} PV =$ constant
$P_{1} V_{1}=P_{2} V_{2}$ [boyle's law]
$\Rightarrow \frac{P_{1}}{T_{1}}=\frac{P_{2}}{T_{2}}$
$ \Rightarrow P_{1} T_{2}=P_{2} T_{1} PV =$ constant
$P_{1} V_{1}=P_{2} V_{2}$ [boyle's law]
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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.