Question

A balloon containing a sample of helium gas measures 1.50 L at a temperature of 25.0°C is placed in a refrigerator at 36.0°F. Calculate its new volume. Enter your answer in the box provided.

Answer 1

1,39 L

Step-by-step explanation:

Charle's Law states that the volume of a fixed amount of gas maintained at constant pressure is directly proportional to the absolute temperature of the gas, for a constant amount of gas we can write:

`(V1)/(T1)=(V2)/(T2)`

As the pressure of the balloon doesn't change, we can use Charle's Law to solve the problem. Firs we change the given temperatures to absolute temperature units ( °K), using the following relations:

°K=273+°C

°K=5/9(°F-32)+273

Therefore:

V1=1.5 L, T1=273+25=298°K

V2=?, T2=5/9(36-32)+273=275,2°K

`V2=(V1T2)/(T1)=(275,2*1,5)/(298)=1,39L`

The new volume of the balloon is 1,39 L.