3. a sample of argon gas is in a vessel with a movable piston at 37 °c. as the gas is cooled, the volume…

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?

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:

$-141.34^{\circ}C$