A balloon is filled with He gas to a volume of 2.10 L at 35 °C.The balloon is placed in liquid nitrogen until its temperature reaches -196 °C.Assuming the pressure remains constant,what is the volume of the cooled balloon?
A) −0.375 L
B) 0.375 L
C) 0.525 L
D) 0.00909 L
E) 8.40 L

Question

Quizplus · Accepted Answer

According to Charles' law, at constant pressure, the volume of a gas is directly proportional to its temperature in Kelvin. We need to convert both the initial and final temperatures to Kelvin: 35 °C + 273.15 = 308.15 K and -196 °C + 273.15 = 77.15 K.

So, we can set up the proportion:

V1 / T1 = V2 / T2

where V1 = 2.10 L, T1 = 308.15 K, and T2 = 77.15 K. Solving for V2 gives:

V2 = (V1 x T2) / T1 = (2.10 L x 77.15 K) / 308.15 K = 0.525 L

Therefore, the volume of the cooled balloon is 0.525 L.

A Balloon Is Filled with He Gas to a Volume