Q. 8.41 - An Introduction to General, Organic, and Biological Chemistry

Question

Rearrange the variable in the combined gas law to solve for $T_2$.

Step-by-Step Solution

Answer

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

Step 1: Given Information

We need to rearrange the variable in combined gas law to solve for  $T_2$

Step 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,

$T_2$is initial  temperature,

$V_1$is initial  volume,

$P_2$  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 temperature 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 $T_2$ is equal to:

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