Question

when the volume of a gas is changed from 250 ml to 425 ml, the temperature will change from 137 °c to a new value. you determined that the initial temperature in kelvin is 410 k. what is the final temperature of the gas? t₂ = ? °c assume that the number of moles and the pressure remain constant. be sure to notice the temperature units! temperature (°c)

Explanation:

Step1: State Charles's Law

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

Step2: Rearrange for final Kelvin temp

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

Step3: Plug in values

$T_2 = 410\ \text{K} \times \frac{425\ \text{mL}}{250\ \text{mL}} = 410 \times 1.7 = 697\ \text{K}$

Step4: Convert to Celsius

$T_2(\degree\text{C}) = 697 - 273 = 424\ \degree\text{C}$

Answer:

424 °C