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.
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