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Chapter 12: Problem 8

What gas law combines the basic gas laws?

Short Answer

Expert verified
The combined gas law which integrates Boyle's law, Charles's law, and Gay-Lussac's law is given by the formula \( P1*V1/T1 = P2*V2/T2 \)

Step by step solution

01

Boyle's Law

Boyle's law states that the pressure and volume of a gas have an inverse relationship when temperature is held constant. It can be represented as \( PV = k_1 \), where \( P \) is pressure, \( V \) is volume and \( k_1 \) is a constant.
02

Charles's Law

Charles's law states that volume and temperature of a gas have a direct relationship when the pressure is held constant. It can be represented as \( V/T = k_2 \), where \( T \) is temperature and \( k_2 \) is a constant.
03

Gay-Lussac's Law

Gay-Lussac's law states that the pressure of a gas is directly proportional to the absolute temperature when the volume is held constant. It can be represented as \( P/T = k_3 \), where \( k_3 \) is a constant.
04

Combining the laws

The combined gas law is derived by integrating the above three laws. It can be represented as \( P1*V1/T1 = P2*V2/T2 \). Here \( P1, V1, T1 \) are the initial pressure, volume and temperature, and \( P2, V2, T2 \) are the final pressure, volume, and temperature.

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