Question

1. which equation represents the combined gas law?

\\( \frac { p _ { 1 } v _ { 1 } } { t _ { 1 } } = \frac { p _ { 2 } v _ { 2 } } { t _ { 2 } } \\)
\\( \frac { p _ { 1 } t _ { 1 } } { v _ { 1 } } = \frac { p _ { 2 } t _ { 2 } } { v _ { 2 } } \\)
\\( p v t = p v t \\)
\\( \frac { p _ { 1 } } { p _ { 2 } } = \frac { v _ { 1 } t _ { 1 } } { v _ { 2 } t _ { 2 } } \\)

Explanation:

Step1: Recall the combined gas law formula

The combined gas law is \( \frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2} \), where \( P\) is pressure, \( V\) is volume, and \( T\) is temperature.

Step2: Analyze each option

• Option \( \frac{P}{V}\frac{T}{T}\): This is not the correct form of the combined gas law.
• Option \( PVT = PVT\): This is an incorrect representation.
• Option \( \frac{PV}{T}=\frac{PV}{T}\): This is the correct form as per the combined gas law formula \( \frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2} \).
• Option \( \frac{PT}{V}=\frac{PT}{V}\): This is not the correct form of the combined gas law.

Answer:

\(\frac{PV}{T}=\frac{PV}{T}\) (the third option)