Question

Larisa pumps up a soccer ball until it has a gauge pressure of 61 kilopascals. The volume of the ball is 5. 2 liters. The air temperature is 32°c, and the outside air is at standard pressure. How many moles of air are in the ball?.

Answer 1

0.66 mol

Step-by-step explanation:

P = 61 + 101 = 162 kPa = 162 x 10^3 Pa

V = 5.2 liters = 5.2 x 10^(-3) m^3

T = 32 + 273 = 305 K

Use PV = nRT, where R = 4.186 J/(mol K)

n = PV/RT = 162 x 10^3 x 5.2 x 10^(-3) /(4.186 x 305) = 0.66 mol