Question

4.A balloon containing an ideal gas sits in a constant pressure chamber. The temperature of the chamber is raised from 275 K to 315 K. If the balloon started at a volume of 0.03 m3, what is the new volume after the temperature change?

Answer 1

To solve this problem, we must take into account the equation:

$PV=nRT$

So, for an isobaric transformation (constant pressure), an increase in volume generates an increase in temperature. This can be written as:

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$$\frac{0.03}{275}=\frac{V_2}{375}\Rightarrow V_2=\frac{0.03*375}{275}=0.04091m^3$

Thus, the new volume will be 0.04091m^3