A flexible .556 L container holds air at a temperature of 27.3 degrees C. If the container is cooled so that the new volume of the gas is .214 L, what is the new temperature of the air in Celsius?

1 Answer
Aug 10, 2018

-157 Celsius

Explanation:

Here are the values obtained from the question:

  • V1=0.556 L
  • T1=27.3 Celsius
  • V2=0.214 L

  • T2=?

Since the question involves changes in volume and temperature, we'll need to use Charles' law:

V1T1=V2T2

Before plugging in the values, the unit for temperature has to be in Kelvin, therefore we'll need to convert from Celsius to Kelvin:

T1=27.3 Celsius+273.15=300.45 K

Solving for T2:

V1T1=V2T2

0.556 L300.45 K=0.214 LT2

T2=0.214 L×300.45 K0.556 L=116 K(3 sig. fig.)

Since the question is asking for T2 in Celsius, we'll need to convert from Kelvin to Celsius:

T2=116 K273.15=-157 Celsius