Calculate the Number of Moles of Air in a Soccer Ball

How many moles of air are in the soccer ball pumped up by Larisa?

The number of moles of air in the ball, given that the volume of the ball is 5.2 litres, is 0.13 mole (Option A).

Calculation Method:

To determine the number of moles of air:

We will begin by listing out the given parameters from the question:

Pressure (P) = 61 kilopascals

Volume (V) = 5.2 litres

Temperature (T) = 32°C = 32 + 273 = 305 K

Gas constant (R) = 8.314 L.KPa/Kmol

Number of moles (n) = ?

From the above parameters, we can use the ideal gas law equation:

PV = nRT

Substituting the given values:

61 × 5.2 = n × 8.314 × 305

317.2 = n × 2535.77

Dividing both sides by 2535.77, we get:

n = 317.2 / 2535.77

n = 0.13 mole

Therefore, the number of moles of air in the soccer ball is 0.13 mole (Option A).