Question

On a cold day, when the air temperature is 0°C, you empty your lungs and take a deep breath, filling your lungs with 4.2 L of air. If you hold your breath until the temperature of the air in your lungs reaches 37°C, what is the volume of the air in your lungs at that point, assuming the pressure does not change?

Answer 1

Answer:

4.769 L

Explanation:

initial volume $v_1=4.2\ ltr$

We have to find the final volume $v_2$

initial temperature $T_1$=0°C=273+0=273 K

final temperature $T_2$=37°C=273+37=310 k

At constant pressure according to Charles law

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

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

$V_2=\frac{310}{273}\times 4.2=4.769 L$

So the final volume will be 4.769 L