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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?

Respuesta :

Answer:

4.769 L

Explanation:

initial volume [tex]v_1=4.2\ ltr[/tex]

We have to find the final volume [tex]v_2[/tex]

initial temperature [tex]T_1[/tex]=0°C=273+0=273 K

final temperature [tex]T_2[/tex]=37°C=273+37=310 k

At constant pressure according to Charles law

[tex]\frac{V_2}{V_1}=\frac{T_2}{T_1}[/tex]

[tex]V_2=\frac{T_2}{T_1}\times V_1[/tex]

[tex]V_2=\frac{310}{273}\times 4.2=4.769 L[/tex]

So the final volume will be 4.769 L

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