Question

Rearrange the variable in the combined gas law to solve for $P_2$.

Short answer

The combined gas law for$P_2$is$P_2=\frac{T_2\times P_1\times V_1}{T_1\times V_2}$

Step-by-step solution

Given Information

We need to rearrange the variable in combined gas law to solve for$P_2$.

Simplify

The combined gas law is given as:

$\frac{P_1\times V_1}{T_1}=\frac{P_2\times V_2}{T_2}$

Here,

$P_1$is initial pressure,

role="math" localid="1652612308124" $T_1$is initial temperature,

$V_1$is initial volume,

role="math" localid="1652612331003" $P_2$is final pressure,

$T_2$is final temperature and

$V_2$ is the final volume.

Now, in case if are asked to find the final pressure the combined gas equation will be rearranged as:

$$\begin{gathered} \frac{P_1\times V_1}{T_1}=\frac{P_2\times V_2}{T_2} \\ {T}_2\times P_1\times V_1=T_1\times P_2\times V_2 \end{gathered}$$

For $P_2$is equal to:

$P_2=\frac{T_2\times P_1\times V_1}{T_1\times V_2}$