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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?

Sagot :

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

[tex]PV=nRT[/tex]

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

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex][tex]\frac{0.03}{275}=\frac{V_2}{375}\Rightarrow V_2=\frac{0.03*375}{275}=0.04091m^3[/tex]

Thus, the new volume will be 0.04091m^3

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