Question

An arctic weather balloon is filled with 7.56 L of helium gas inside a prep shed. The temperature inside the shed is 6. °C. The balloon is then taken outside,where the temperature is -30. °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.LG8d13

Answer 1

To find the final volume of the balloon we will assume that the gas inside behaves like an ideal gas. We are told to assume that the pressure remains constant, we will further assume that the moles do not change. According to the above, we can apply Charles' law which tells us:

`(V_1)/(T_1)=(V_2)/(T_2)`

Where,

V1 is the initial volume, 7.56L

T1 is the initial temperature in K, 6°C = 279.15K

T2 is the final temperature in K, -30K=243,15K

V2 is the final volume, unknown

We replace the known data and find V2:

`\begin{gathered} V_2=(V_1)/(T_1)* T_2 \\ \\ V_2=(7.56L)/(279.15K)*243.15K \\ \\ V_2=6.59L \end{gathered}`

The new volume of the balloon is 6.59L

Answer: 6.59