Calculation of Absolute Pressure and Amount of Air Inside a Ball
Introduction
Calculation
To calculate the absolute pressure inside the ball and the amount of air it contains, we need to consider the given values:- Volume (V) = 5.27 liters
- Temperature (T) = 27.0°C
- Gauge Pressure (Pg) = 0.25 atmosphere
- Atmospheric Pressure (Patm) = 1.00 atmosphere
Absolute Pressure Calculation
The absolute pressure inside the ball can be calculated using the formula:Pabs = Pg + Patm
Pabs = 0.25 + 1.00 = 1.25 atmospheres
Therefore, the absolute pressure inside the ball is 1.25 atmospheres.Amount of Air Calculation
The amount of air in moles inside the ball can be calculated using the ideal gas law:n = PV / RT
Substituting the values and constants:n = (1.25 atm * 5.27 L) / (0.0821 L*atm/mol*K * 300 K) ≈ 0.267 moles of air
Therefore, the ball contains approximately 0.267 mole of air.What is the absolute pressure inside the ball and the amount of air it contains?
The absolute pressure inside the ball is 1.25 atmospheres and the ball contains 0.267 mole of air.