Question

007 10.0 points A helium balloon has a volume of 21.8 L when the pressure is 0.578 atm and the tem- perature is 19°C. The balloon is cooled at a constant pressure until the temperature is -11°C. What is the volume of the balloon at this stage? Answer in units of L.

Answer 1

Helium(He) is an Ideal Gas.

By using ideal gas equation pV = nRT where p(pressure) is constant (Given) and n,R are constant. Hence, V/T would be constant.

So, Vi / Ti = Vf / Tf --->(1)    (Vi and Vf are initial and final volume, Ti and Tf are initial and final temperature).

Given data: Vi = 21.8 L, Ti = 19 degree celcius = 292 K and Tf = -11 degree celcius = 262 K.

By using equation (1):    21.8 / 292 = Vf / 262 => Vf = 19.56 L

Hence the final temperature would be 19.56 L.