How many cubic feet will 44lb of CO2 occupy at STP
To find out how many cubic feet 44 lbs of CO2 will occupy at standard temperature and pressure (STP), we can use the ideal gas law equation.
The ideal gas law is given by:
PV = nRT
Where:
P is the pressure
V is the volume
n is the number of moles
R is the ideal gas constant (0.0821 L·atm/(mol·K) or 8.314 J/(mol·K))
T is the temperature in kelvin
At STP, the pressure is 1 atmosphere (atm) and the temperature is 273.15 kelvin (K).
First, we need to calculate the number of moles of CO2 using its molar mass. The molar mass of CO2 is 44 g/mol.
44 lbs is equal to 44 * 453.592 g (since 1 lb = 453.592 g).
Number of moles of CO2 = mass / molar mass
Number of moles of CO2 = (44 * 453.592 g) / 44 g/mol
Now we can substitute the obtained values into the ideal gas law equation:
PV = nRT
(1 atm) * V = [(44 * 453.592 g) / 44 g/mol] * (0.0821 L·atm/(mol·K)) * (273.15 K)
Simplifying the equation will give us the volume (V) in liters. To convert liters to cubic feet, we can use the conversion factor: 1 liter = 0.0353147 cubic feet.
Finally, we convert the volume to cubic feet:
V (cubic feet) = V (liters) * 0.0353147
By following these steps, you can calculate the volume in cubic feet that 44 lbs of CO2 will occupy at STP.