Question

a sample containing 22.0 g of gaseous carbon dioxide occupies a volume of 15.3 l. what will the new volume be if an additional 15.0 g CO₂ are added, with no change in temperature or pressure.

Answer 1

The new volume will be 15.639 L.

Step-by-step explanation:

To find the new volume, we can use the ideal gas law equation:

V1 = V2

where V1 is the initial volume and V2 is the final volume. We can rearrange the equation:

V2 = V1 + ΔV

where ΔV is the change in volume. Since the temperature and pressure are constant, the change in volume can be calculated by using the ratio of the masses of the gases:

ΔV = (m2 / M2) - (m1 / M1)

where m2 is the mass of the additional CO2 added, M2 is the molar mass of CO2, m1 is the initial mass of CO2, and M1 is the molar mass of CO2.

Plugging in the given values:

ΔV = (15.0 g / 44.01 g/mol) - (22.0 g / 44.01 g/mol) = 0.339 L

Finally, substituting into the equation for the final volume:

V2 = V1 + ΔV = 15.3 L + 0.339 L = 15.639 L