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

Question #324633

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?


1
Expert's answer
2022-04-07T13:12:39-0400

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

P1V1=nRT1  equation(1)P_{1}V_{1}=nRT_{1}\>\>equation (1)

P2V2=nRT2  equation(2)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.

V1T1=nRP\frac{V_{1}}{T_{1}}=\frac{nR}{P}

V2T2=nRP\frac{V_{2}}{T_{2}}=\frac{nR}{P}

V1T1=V2T2\frac{V_{1}}{T_{1}}=\frac{V_{2}}{T_{2}}

25L30oC=V210oC\frac{25L}{30^oC}=\frac{V_{2}}{10^oC}

V2=8.33LV_{2}=8.33L

Volumeofballoonis8.33LVolume\> of \>balloon \>is \>8.33 \>L


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