Temperature and Volume

Question

1. A sample of gas in a balloon has an initial temperature of 33  and a volume of 1.22×10³  . If the temperature changes to 60.  , and there is no change of pressure or amount of gas, what is the new volume, , of the gas?
2. What Celsius temperature, , is required to change the volume of the gas sample in Part A ( = 33  , = 1.22×10³  ) to a volume of 2.44×10³  ? Assume no change in pressure or the amount of gas in the balloon.

Answer 1

First change the Celsius temperatures to degrees Kelvin by adding 273 to the Celsius temperatures.

As the pressure is constant, use the relation V1/V2 = T1/T2 where subscript 1 is the initial condition and subscript 2 is the final condition. Solve for the unknown quantity.

V2 = V1 x T2 / T1

T2 = T1 x V2 / V1 (change the Kelvin temperature back to Celsius by subtraction 273 to get the final answer)