Gas is contained in an 8.45 liter vessel at a temperature of 19.8oC and a pressure of 8.70 atm. Determine the number of moles of gas in the vessel. Do not enter units.
Use the ideal gas law.
n = P*V/(R*T)
R = 0.08206 liter*atm/(mole*K)
T = 293.0 K
P = 8.70 atm
V = 8.45 l
Solve for n, which will be in moles.
n = 3.06 (moles)
To determine the number of moles of gas in the vessel, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure of the gas in atm
V = volume of the gas in liters
n = number of moles of gas
R = ideal gas constant (0.0821 L · atm / (mol · K))
T = temperature of the gas in Kelvin
First, we need to convert the temperature to Kelvin. To do this, we add 273.15 to the temperature given in Celsius:
T = 19.8oC + 273.15 = 293.95 K
Now, we can rearrange the ideal gas law equation to solve for the number of moles of gas (n):
n = PV / RT
Substituting the known values into the equation, we get:
n = (8.70 atm) * (8.45 L) / [(0.0821 L · atm / (mol · K)) * (293.95 K)]
Simplifying the equation gives us:
n = 8.45 * 8.70 / (0.0821 * 293.95)
Calculating this expression will give us the number of moles of gas in the vessel.