how many liters of CO2 are in 50kg of carbon dioxide at STP?
1 mole CO2 = 44 grams.
1 mole any gas at STP occupies 22.4 L.
So how many moles CO2 are in 50 kg CO2?
To find the number of liters of CO2 in 50 kg of carbon dioxide at STP (Standard Temperature and Pressure), we need to use the ideal gas law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = moles of gas
R = ideal gas constant (0.0821 L·atm/(K·mol))
T = temperature (in Kelvin)
At STP, the pressure is 1 atm and the temperature is 273.15 K.
First, we need to calculate the number of moles of carbon dioxide using the molar mass of CO2.
The molar mass of carbon dioxide (CO2) is:
C = 12.01 g/mol
O = 16.00 g/mol (there are 2 oxygen atoms)
Molar mass of CO2 = 12.01 g/mol + (16.00 g/mol x 2) = 44.01 g/mol
Now, let's calculate the number of moles of CO2 in 50 kg:
Number of moles of CO2 = mass of CO2 / molar mass of CO2
= 50000 g / 44.01 g/mol
= 1135.89 mol
Finally, we can use the ideal gas law equation to find the volume of 1135.89 moles of CO2:
PV = nRT
Since pressure (P), temperature (T), and the gas constant (R) are given, we can rearrange the equation to solve for volume (V):
V = (nRT) / P
V = (1135.89 mol x 0.0821 L·atm/(K·mol) x 273.15 K) / 1 atm
V ≈ 27378.46 L
Therefore, there are approximately 27378.46 liters of CO2 in 50 kg of carbon dioxide at STP.