Some students believe that teachers are full of hot air. If I inhale 2.1 liters of gas at a temperature of 200 C and it heats to a temperature of 370 C in my lungs, what is the new volume of the gas?

2.86L

Explanation:

Given parameters:

V1  = 2.1L

T1  = 200°C  = 200 + 273  = 473K

T 2  = 370°C  = 370 + 273  = 643K

Unknown:

V2  = ?

Solution:

Since pressure is constant, we apply the Charles's law;

              =    

V is volume

T is the temperature

1 is the initial state

2 is the new state

                   =  

                 V2  = 2.86L