Question

An arctic weather balloon is filled with of helium gas inside a prep shed. The temperature inside the shed is . The balloon is then taken outside, where the temperature is . Calculate the new volume of the balloon. You may assume the pressure on the balloon stays constant at exactly . Round your answer to significant digits.

Answer 1

Answer:

9.11 L

Explanation:

An arctic weather balloon is filled with 10.2 L of helium gas inside a prep shed. The temperature inside the shed is 9 °C. The balloon is then taken outside, where the temperature is -21 °C. Calculate the new volume of the balloon. You may assume the pressure on the balloon stays constant at exactly 1 atm. Round your answer to 3 significant digits.

Step 1: Given data

• Initial volume (V₁): 10.2 L

• Initial temperature (T₁): 9 °C

• Final volume (V₂): ?

• Final temperature (T₂): -21 °C

Step 2: Convert the temperatures to the Kelvin scale

We will use the following expression.

K = °C + 273.15

K = 9 °C + 273.15 = 282 K

K = -21 °C + 273.15 = 252 K

Step 3: Calculate the final volume of the balloon

We can calculate the final volume of the balloon using Charle's law.

V₁/T₁ = V₂/T₂

V₂ = V₁ × T₂/T₁

V₂ = 10.2 L × 252 K/282 K = 9.11 L