Question

At 32 C the pressure inside a nitrogen-filled tennis ball either the volume of 0.148L is 212 kPa. How many moles of nitrogen gas are in the tennis ball

Answer 1

Answer:

The number of moles of nitrogen gas in the tennis ball is 0.0124 moles

Explanation:

Here we have the universal gas equation as

P·V = n·R·T

Where:

P = Pressure of the gas = 212 kPa

V =  Volume of the gas = 0.148 L = ‪0.000148‬ m³

n = Number of moles

R = Universal gas constant = 8.3145 J / mol·K.

T = Temperature of the gas in Kelvin = 32 + 273.15 = 305.15 K

Therefore,

$n = \frac{P \cdot V}{R \cdot T} = \frac{212000 \times 0.000148}{8.3145 \cdot 305.15}= 0.0124 \ moles$

The number of moles of nitrogen gas in the tennis ball = 0.0124 moles.