Question

An arctic weather balloon is filled with 46.0L of helium gas inside a prep shed. The temperature inside the shed is 12°C The balloon is then taken outside, where the temperature is -10°C Calculate the new volume of the balloon.

You may assume the pressure on the balloon stays constant at exactly 1atm Be sure your answer has the correct number of significant digits.
please help

Answer 1

42.45 L

Step-by-step explanation:

Using the Charle's law equation as follows:

V1/T1 = V2/T2

Where;

T1 = initial temperature (K)

T2 = final temperature (K)

V1 = initial volume (L)

V2 = final volume (L)

Based on the information provided in this question;

V1 = 46.0 L

V2 = ?

T1 = 12°C = 12 + 273 = 285K

T2 = -10°C = -10 + 273 = 263K

Using V1/T1 = V2/T2

46/285 = V2/263

Cross multiply

285V2 = 46 × 263

285V2 = 12098

V2 = 12098 ÷ 285

V2 = 42.45L

The new volume of the balloon is 42.45 L.