46.1k views
2 votes
You pump 25.0 liters of air at atmospheric pressure (101.3 kPa) into a soccer ball that has the volume of 4.50 liters. What is the pressure inside the soccer ball if the temperature does not change?

1 Answer

6 votes

Answer:

562.8 kPa

Step-by-step explanation:

We can solve the problem by using Boyle's law, which states that the product between the pressure of a gas kept at constant temperature and its volume is constant:


p V = const.

which can also be written as


p_1 V_1 = p_2 V_2

In this problem:


p_1 = 101.3 kPa is the initial pressure of the gas


V_1 = 25.0 L is the initial volume

Later, the gas is pumped into a volume of


V_2 = 4.5 L

So we can use the equation above to find
p_2, the final pressure of the gas when it is inside the ball:


p_2 = (p_1 V_1)/(V_2)=((101.3)(25.0))/(4.5)=562.8 kPa

User Inch High
by
8.2k points

No related questions found