Given :
If I inhale 2.2 liters of gas at a temperature of 180 C and it heats to a temperature of 380 C in my lungs.
To Find :
The new volume of the gas.
Solution :
Since, their is no information about pressure, so we will assume that pressure is constant.
We know, relation between temperature and volume in constant pressure is :
[tex]\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}[/tex]
Putting all given values in above equation, we get :
[tex]V_2 = \dfrac{V_1\times T_2}{T_1}\\\\V_2 = \dfrac{2.2\times (180+273)}{(380+273)}\\\\V_2 = 1.53 \ liters[/tex]
Hence, this is the required solution.
