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Multiple Choice
Using the Ideal Gas Law, calculate the density of CO2 gas in g/L at 27°C and 0.50 atm pressure.
A
1.14 g/L
B
0.98 g/L
C
1.25 g/L
D
0.89 g/L
Verified step by step guidance
1
Convert the temperature from Celsius to Kelvin by adding 273.15 to the Celsius temperature: T(K) = 27 + 273.15.
Use the Ideal Gas Law in the form \( PV = nRT \) to find the molar volume. Rearrange it to \( V = \frac{nRT}{P} \), where \( R \) is the ideal gas constant (0.0821 L·atm/mol·K).
Calculate the molar mass of CO2. The molar mass of carbon (C) is 12.01 g/mol and oxygen (O) is 16.00 g/mol. Therefore, the molar mass of CO2 is \( 12.01 + 2 \times 16.00 \) g/mol.
Substitute the values into the rearranged Ideal Gas Law to find the volume of one mole of CO2 at the given conditions: \( V = \frac{(1 \text{ mol}) \times (0.0821 \text{ L·atm/mol·K}) \times T(K)}{0.50 \text{ atm}} \).
Calculate the density using the formula \( \text{Density} = \frac{\text{Molar Mass}}{\text{Molar Volume}} \). Substitute the molar mass of CO2 and the calculated molar volume to find the density in g/L.