Chem 101 ideal gas

Question

A hot air balloon is filled with 1.43 x10⁶ of an ideal gas on a cool morning ( 11C)The air is heated to 131C  What is the volume of the air in the balloon after it is heated? Assume that none of the gas escapes from the balloon.

Answer 1

What are the units of 1.43x10⁶? Are those liters? Since the question is asking for the final volume, I'll assume that is the initial volume in liters. That being the case, and assuming the pressure is constant, we simply use Charles' Law to solve the problem.

V1/T1 = V2/T2

V1 = initial volume = 1.43x10⁶ L

T1 = initial temperature in K = 11 + 273 = 284K

V2 = final volume = ?

T2 = final temperature in K = 131 + 273 = 404K

V2 = V1T2 / T1

V2 = (1.43x10⁶ L)(404K) / (284K)

V2 = 2.03x10⁶ L