At STP, how many moles of gas occupy a room with a volume of 6.0 m3? [1 m3 = 1000 L]
Question
At STP, how many moles of gas occupy a room with a volume of 6.0 m³?
[1 m³ = 1000 L]
Solution
At Standard Temperature and Pressure (STP), one mole of any gas occupies 22.4 liters.
Step 1: Convert the volume from m3 to L. 1 m3 = 1000 L, so 6.0 m3 = 6.0 * 1000 = 6000 L.
Step 2: Calculate the number of moles. We know that 1 mole of gas occupies 22.4 L at STP. So, the number of moles (n) can be calculated using the formula:
n = V / Vm
where: V is the volume of the gas, and Vm is the molar volume of the gas (22.4 L at STP).
So, n = 6000 L / 22.4 L/mole = 267.86 moles.
Therefore, at STP, 267.86 moles of gas occupy a room with a volume of 6.0 m3.
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