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A sample of carbon dioxide gas collected at a pressure of 242 mm

Hg and a temperature of 304 K has a mass of 38.2 grams. The volume

of the sample is ___ L.

Answer :

Final answer:

The volume of the carbon dioxide gas sample is approximately 8.84 L.

Explanation:

To calculate the volume of the carbon dioxide gas sample, we can use the ideal gas law equation:

PV = nRT

Where:

  • P is the pressure of the gas (242 mm Hg)
  • V is the volume of the gas (unknown)
  • n is the number of moles of the gas (unknown)
  • R is the gas constant (0.0821 L·atm/mol·K)
  • T is the temperature of the gas (304 K)

First, we need to determine the number of moles of carbon dioxide gas. We can use the given mass of the sample (38.2 grams) and the molar mass of carbon dioxide (approximately 44 grams/mol) to calculate the number of moles:

moles = mass / molar mass

moles = 38.2 g / 44 g/mol

moles ≈ 0.868 mol

Now, we can substitute the values into the rearranged ideal gas law equation:

V = (nRT) / P

V = (0.868 mol * 0.0821 L·atm/mol·K * 304 K) / 242 mm Hg

Converting the pressure from mm Hg to atm:

V = (0.868 mol * 0.0821 L·atm/mol·K * 304 K) / (0.318 atm)

V ≈ 8.84 L

Learn more about calculating the volume of a gas sample using the ideal gas law here:

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