To find out which equation represents the combined gas law, let's review the combined gas law.
The combined gas law is a combination of Boyle's law, Charles's law, and Gay-Lussac's law. It relates the pressure, volume, and temperature of a gas. The formula for the combined gas law is given by:
[tex]\[
\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}
\][/tex]
Where:
- [tex]\(P_1\)[/tex] is the initial pressure
- [tex]\(V_1\)[/tex] is the initial volume
- [tex]\(T_1\)[/tex] is the initial temperature
- [tex]\(P_2\)[/tex] is the final pressure
- [tex]\(V_2\)[/tex] is the final volume
- [tex]\(T_2\)[/tex] is the final temperature
In the combined gas law, the equation shows that the product of the initial pressure and volume divided by the initial temperature is equal to the product of the final pressure and volume divided by the final temperature.
Given the options:
- OP₁₁ P₂V₂
- V₁ V₂
- T₁ T₂
- P₁V P₂V₂
- T₁₂
These options don't seem to be written correctly. The correct representation according to the combined gas law is:
[tex]\[
\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}
\][/tex]
This equation clearly demonstrates the relationship between the pressure, volume, and temperature before and after a change in conditions for a given quantity of gas. So, the equation that represents the combined gas law is:
[tex]\[
\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}
\][/tex]
