To calculate the number of moles of Cl2 in a container with a volume of 7.5 L at standard temperature and pressure (STP), we use the concept that one mole of an ideal gas occupies a volume of 22.4 liters at STP. STP is defined as a temperature of 0 degrees Celsius (273.15 Kelvin) and a pressure of 1 atmosphere (101325 Pascals, or 760 mmHg).
The relationship between the number of moles (n), volume (V), and the molar volume (Vm) at STP is given by the formula:
n = V / Vm
where:
n is the number of moles,
V is the volume of the gas, and
Vm is the molar volume of the gas at STP (which is 22.4 L for one mole).
Using this formula, we can find the number of moles of Cl2:
n = V / Vm
n = 7.5 L / 22.4 L/mol
Now, let's calculate that:
n = 7.5 L / 22.4 L/mol ≈ 0.3348 moles
Therefore, there are approximately 0.3348 moles of Cl2 gas in a 7.5 L container at STP.
