Calculate the total pressure (in atm) of a mixture of 0.0300 mol of helium, He and 0.0200 mol of oxygen O2 in a 4.00 L flask at 20 degrees C. Assume the ideal gas behavior.
Can someone help me start this out... Please
Use PV = nRT
for n just add the mols of He and O2. They don't react with each other.
To calculate the total pressure of the mixture, we need to use the Ideal Gas Law equation:
PV = nRT
Where:
P is the pressure of the gas
V is the volume of the gas
n is the number of moles of the gas
R is the ideal gas constant (0.0821 L.atm/mol.K)
T is the temperature in Kelvin
First, we need to convert the Celsius temperature to Kelvin. The temperature in Kelvin is equal to the Celsius temperature plus 273.15. So, the temperature in Kelvin is:
T = 20 + 273.15 = 293.15 K
Now, we can calculate the partial pressure of helium and oxygen by using the equation:
PHelium = nHelium * RT / V
POxygen = nOxygen * RT / V
Where:
nHelium is the number of moles of helium (0.0300 mol)
nOxygen is the number of moles of oxygen (0.0200 mol)
R is the ideal gas constant (0.0821 L.atm/mol.K)
T is the temperature in Kelvin (293.15 K)
V is the volume of the flask (4.00 L)
Now, let's calculate the partial pressures of helium and oxygen.
Sure! To calculate the total pressure of a mixture of gases, you can use the ideal gas law, which states:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L·atm/mol·K)
T = temperature (in Kelvin)
To solve this problem, you can follow these steps:
1. Convert the temperature from Celsius to Kelvin.
To do this, add 273.15 to the given temperature of 20 degrees Celsius:
T = 20 + 273.15 = 293.15 K
2. Calculate the partial pressure of helium (PHelium).
We can use the ideal gas law to solve for PHelium.
Rearrange the equation: PHelium = nHelium * RT / V
Substituting the values given: nHelium = 0.0300 mol, R = 0.0821 L·atm/mol·K, T = 293.15 K, V = 4.00 L
PHelium = (0.0300 mol) * (0.0821 L·atm/mol·K) * (293.15 K) / (4.00 L)
3. Calculate the partial pressure of oxygen (POxygen).
Similarly, use the ideal gas law to solve for POxygen.
Rearrange the equation: POxygen = nOxygen * RT / V
Substituting the values given: nOxygen = 0.0200 mol, R = 0.0821 L·atm/mol·K, T = 293.15 K, V = 4.00 L
POxygen = (0.0200 mol) * (0.0821 L·atm/mol·K) * (293.15 K) / (4.00 L)
4. Calculate the total pressure (PTotal) of the mixture.
PTotal = PHelium + POxygen
Now you can plug in the values into the equations and calculate the partial pressures and the total pressure.