Question

the temperature of a gas changes from 765 k to 315 k. what is the final volume of the container if the original volume was 986 ml?
v = ? ml
assume that the number of moles and the pressure remain constant.

Explanation:

Step1: Apply Charles's Law

Charles's Law: $\frac{V_1}{T_1} = \frac{V_2}{T_2}$ (constant n, P)
Given $V_1=986\ \text{mL}$, $T_1=765\ \text{K}$, $T_2=315\ \text{K}$, solve for $V_2$.

Step2: Rearrange formula for $V_2$

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

Step3: Calculate final volume

$V_2 = 986 \times \frac{315}{765} \approx 986 \times 0.41189 \approx 406\ \text{mL}$

Answer:

406 mL