What is the volume, in liters, of 5.00 mols of carbon dioxide?
So.. 0.223?
oh.. wait no. If it occupies 22.4 liters.. then it would be 112
I answered incorrectly and I've deleted my original answer. The statement was correct but not the equation.
1 mole of a gas occupies 22.4 L at STP. So 5 mols will occupy 5 x 22.4 = 112 L and your answer of 112 L is correct.
To find the volume in liters of a given amount of substance, you need to know two things: the number of moles of the substance and the molar volume.
The molar volume is the amount of space occupied by one mole of a substance at a specific temperature and pressure. For gases, the molar volume is usually given under standard conditions, which are 0 degrees Celsius (273.15 Kelvin) and 1 atmosphere of pressure.
Carbon dioxide (CO2) is a gas, so we can use the ideal gas law to find its volume. The ideal gas law equation is:
PV = nRT
Where:
- P is the pressure in atmospheres
- V is the volume in liters
- n is the number of moles
- R is the gas constant (0.0821 L·atm/(mol·K))
- T is the temperature in Kelvin
Under standard conditions, the pressure (P) is 1 atmosphere, and the temperature (T) is 273.15 K. The equation simplifies to:
V = n * R * T / P
Substituting the given values, we have:
n = 5.00 mol
R = 0.0821 L·atm/(mol·K)
T = 273.15 K
P = 1 atmosphere
Let's plug the values into the equation and solve for V:
V = (5.00 mol) * (0.0821 L·atm/(mol·K)) * (273.15 K) / (1 atm)
V = 113.6385 L
Therefore, the volume of 5.00 moles of carbon dioxide at standard conditions is approximately 113.64 liters.