Answer:
3g/L
Step-by-step explanation:
it is simply using the idea gas law to calculate the new molar density (i.e. molar solubility) at a different pressure,
P V =nRT
where:
P is the pressure in atm
V is the volume in L .
n is the mols of gas in mol s.
R = 0.082057 L ⋅atm/mol . K is the universal gas constant in the appropriate units.
T is the temperature in K .
Solving for molar density, we get:
n V =PRT
Since we have two solubility to consider, we must have two states.
n ₁/v₁ =p₁/RT
n ₂/v₂ =p₂/RT
Therefore, we have:
RT =P₁V ₁/n₁ = P₂V ₂/n₂
Solving for the new molar density, we get:
n₂/v₂ = n₁/v₁(p₂/p₁)
we can now convert the mass-based solubility to mols. We assume that the
CO₂ was as dissolved into the water as possible for the initial pressure, and that it doesn't change the volume of the water.
n₁v₁= {0.06g CO ₂×( 1 mol CO ₂/44.009g CO ₂ )}/0.100 L water
0.06g CO ₂×( 0.022722 )}/0.100 L water = 0.001363/0.1 = 0.0136335mol/L
Therefore, the new solubility is: 0.0136335mol/L× 5.50/1.00 atm= 0.06816 mol/L
In the original units, we have:
0.06816 mol CO ₂/L solution × 44.009 g CO ₂/mol CO ₂ = 3g/L