Answer to Question #324633 in Molecular Physics | Thermodynamics for Julia

Question

A balloon has a volume of 25.0L on a day when the temperature is 30.0 °C. If the temperature at night falls to 10.0 °C, what will be the volume of the balloon if the pressure remains constant?

Answer 1

$PV=nRT \>\>by \>ideal\>gas\>law$

$P_{1}V_{1}=nRT_{1}\>\>equation (1)$

$P_{2}V_{2}=nRT_{2}\>\>equation (2)$

Pressure remains constant and also number of moles n and universal gas constant R is also constant.

$\frac{V_{1}}{T_{1}}=\frac{nR}{P}$

$\frac{V_{2}}{T_{2}}=\frac{nR}{P}$

$\frac{V_{1}}{T_{1}}=\frac{V_{2}}{T_{2}}$

$\frac{25L}{30^oC}=\frac{V_{2}}{10^oC}$

$V_{2}=8.33L$

$Volume\> of \>balloon \>is \>8.33 \>L$