Final answer:
There are approximately 0.1212 moles of propane in the 5.00 L tank at 450 torr and 25°C.
Step-by-step explanation:
To determine the number of moles of propane in the tank, we need to use the ideal gas law equation:
PV = nRT
Where:
- P is the pressure in atm
- V is the volume in L
- n is the number of moles
- R is the ideal gas constant (0.0821 L·atm/mol·K)
- T is the temperature in K
Given:
- P = 450 torr = 450/760 atm = 0.5921 atm
- V = 5.00 L
- T = 25°C = 25 + 273.15 K = 298.15 K
Substituting the values into the equation:
0.5921 atm * 5.00 L = n * 0.0821 L·atm/mol·K * 298.15 K
Solving for n:
n = (0.5921 atm * 5.00 L) / (0.0821 L·atm/mol·K * 298.15 K)
n = 0.1212 mol
Therefore, there are approximately 0.1212 moles of propane in the 5.00 L tank at 450 torr and 25°C.