Calculate the partial pressure of 24 g methane, 48 g of oxygen and 56 g of nitrogen contained in a 25L container. What is the total pressure.
change each of these gasses to moles.
then us PV=nRT
You didn't list a termperature, but you need it. Pressure of gasses is dependent on temperatuare.
partial pressure= moles*absolutetemp*gasconstant/volume
then the total pressure is the sum of the three gases partial pressures.
i am not given the temperature.
Then you cant work it.
To calculate the partial pressure of each gas, we first need to determine the number of moles of each gas using the ideal gas law equation:
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/(K·mol)), and T is the temperature in Kelvin.
First, let's calculate the number of moles of each gas:
For methane (CH4):
Given mass of methane = 24 g
Molar mass of methane (CH4) = 16.04 g/mol
Number of moles of methane = mass / molar mass = 24 g / 16.04 g/mol
Repeat the same steps for oxygen (O2) and nitrogen (N2) with their respective molar masses:
For oxygen (O2):
Given mass of oxygen = 48 g
Molar mass of oxygen (O2) = 32 g/mol
Number of moles of oxygen = mass / molar mass = 48 g / 32 g/mol
For nitrogen (N2):
Given mass of nitrogen = 56 g
Molar mass of nitrogen (N2) = 28.02 g/mol
Number of moles of nitrogen = mass / molar mass = 56 g / 28.02 g/mol
Now, let's calculate the partial pressure of each gas using the ideal gas law:
P = (nRT) / V
To calculate the partial pressure of each gas, we need to convert the volume from liters to m^3 because the ideal gas constant has units of m^3·Pa/(K·mol).
Volume (V) = 25 L = 0.025 m^3
Partial pressure of methane (PCH4) = (nCH4 * R * T) / V
Partial pressure of oxygen (PO2) = (nO2 * R * T) / V
Partial pressure of nitrogen (PN2) = (nN2 * R * T) / V
Now, to calculate the total pressure, we add up the partial pressures of each gas:
Total Pressure = PCH4 + PO2 + PN2
By substituting the values of nCH4, nO2, nN2, V, R, and T into these equations, we can find the partial pressures of each gas and the total pressure.