Select the correct answer the temperature larisa pumps up a soccer ball until it has a gauge pressure of 61 kilopascals. the volume of the ball is 5.2 liters many moles of air are in the ball? and the outside air is at standard pres a. 0.13 mol b. 0.33 moi c. 12 mol d. 32 moi reset next

Correct questions: 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: b. 0.33 moles.

Explanation:
The total ball pressure is sum of gauge pressure and atmospheric pressure.
We know that atmospheric pressure = 101.325 kPa;
so the total ball pressure = 61 kPa + 101.325 kPa = 162.325 kPa.
Now we will use ideal gas equation as
PV = nRT;
P = pressure = 162.325 kPa;
V = 5.2 L;
R = gas constant = 8.314 kPa L / mol K'
T = 32 C = 273.15 + 32 = 305.15 K.
n = moles = ?
Moles = PV / RT = 162.325 kPa X 5.2 / 305.15 X 8.314 = 0.332 moles.

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