3. a sample of argon gas is in a vessel with ...
3. a sample of argon gas is in a vessel with a movable piston at 37 °c. as the gas is cooled, the volume decreases from 10.0 liters to 4.25 liters. what is the final temperature of the gas?
Answer
# Explanation:
## Step1: Convert initial temperature to Kelvin
$T_1=(37 + 273.15)\text{ K}=310.15\text{ K}$
## Step2: Apply Charles's Law ($\frac{V_1}{T_1}=\frac{V_2}{T_2}$)
$T_2=\frac{V_2T_1}{V_1}$
## Step3: Substitute values
$T_2=\frac{4.25\text{ L}\times310.15\text{ K}}{10.0\text{ L}}$
$T_2 = 131.81\text{ K}$
## Step4: Convert final temperature to Celsius
$t_2=(131.81 - 273.15)^{\circ}C=- 141.34^{\circ}C$
# Answer:
$-141.34^{\circ}C$