Identifying a Diatomic Gas at STP
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4. Challenge! Which diatomic gas has a mass of $19.764 \text{ g}$ and a volume of $16.012 \text{ L}$ at S.T.P?
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Let's work through these chemistry problems involving gas laws and stoichiometry at S T P conditions. We will solve questions four and five from the image.
Gas Laws at STP
Question four asks us to identify a diatomic gas given its mass and volume at S T P. First, let's recall what S T P represents.
Question 4: Identify the Diatomic Gas
Standard Temperature and Pressure, or S T P, means that one mole of any ideal gas occupies exactly twenty-two point four liters.
We are given a mass of nineteen point seven six four grams and a volume of sixteen point zero one two liters. To identify the gas, we need its molar mass.
First, we find the number of moles by dividing the given volume by the molar volume at S T P.
Substituting our values, n equals sixteen point zero one two liters divided by twenty-two point four liters per mole.
This gives us approximately zero point seven one four eight moles.
Now, we find the molar mass by dividing the total mass by the number of moles.
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