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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 8.32 L.

Explanation:

To find the volume of the carbon dioxide gas sample, we can use the ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

First, let's convert the given pressure from mm Hg to atm. Since 1 atm = 760 mm Hg, we have:

Pressure (P) = 242 mm Hg * (1 atm / 760 mm Hg) = 0.3184 atm

Next, let's convert the given mass of the carbon dioxide gas to moles. We can use the molar mass of carbon dioxide (CO2), which is 44.01 g/mol:

Number of moles (n) = Mass / Molar mass = 38.2 g / 44.01 g/mol = 0.868 mol

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

V = (nRT) / P = (0.868 mol * 0.0821 L·atm/mol·K * 304 K) / 0.3184 atm = 8.32 L

Therefore, the volume of the carbon dioxide gas sample is 8.32 L.

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

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