Question

4. I started with a volume of 123 L in a soccer ball at 16 atm. The volumechanged to 115 L. What is the final PRESSURE?Your answer

Answer 1

Answer

17.1 atm

Explanation

Given:

The initial volume, V₁ = 123 L

The initial pressure, P₁ = 16 atm

The final volume, V₂ = 115 L

What to find:

The final pressure, P₂.

Step-by-step solution:

The exercise is a volume-pressure relationship and this can be approached using Boyle's law formula.

$\begin{gathered} P_1V_1=P_2V_2 \\ \\ P_2=\frac{P_1V_1}{V_2} \end{gathered}$

Substitute the values of the given parameters into the formula, we have

$\begin{gathered} P_2=\frac{16atm\times123L}{115L} \\ \\ P_2=\frac{1968\text{ }atm}{115} \\ \\ P_2=17.1\text{ }atm \end{gathered}$

The final PRESSURE is 17.1 atm