Respuesta :
Get the moles of the ions in the given above and the mass in kilograms of the pure seawater.
To get the mass, it is calculated by: total mass of all the present ions - mass of the solution
The mass of the solution:
1 L x 1.022 g /1 ml x 1 mL / 10^-3 L = 1022 g of solution
The total mass of the solute is given which is 35.067 g
The mass of pure solvent is: 1022 g - 35.067 g = 986.93 g = 0.98693 kg
In this problem, the molality is given by: 10.53 mM = 0.01053 M = 0.01053 mol of
Ca^2+/L = 0.01053 mol / 0.98693 kg = 0.011 m is the answer.
To get the mass, it is calculated by: total mass of all the present ions - mass of the solution
The mass of the solution:
1 L x 1.022 g /1 ml x 1 mL / 10^-3 L = 1022 g of solution
The total mass of the solute is given which is 35.067 g
The mass of pure solvent is: 1022 g - 35.067 g = 986.93 g = 0.98693 kg
In this problem, the molality is given by: 10.53 mM = 0.01053 M = 0.01053 mol of
Ca^2+/L = 0.01053 mol / 0.98693 kg = 0.011 m is the answer.
Molarity of Ca²⁺ = 10.53 mM = 0.01053 M
Thus, moles of Ca²⁺ = Molarity × Volume
= 0.01053 M × 1 L
= 0.01053 moles
Density of solution = 1.022 g / ml
So, mass of solution = density × volume
= 1.022 g /ml × 1000 ml = 1022 g or 1.022 Kg
Mass of all ions in 1 Kg of seawater = 35.067 g
Mass of ions in 1.022 Kg = 1.022 Kg seawater × (35.067 g ions / 1 Kg seawater)
= 35.838 g
Therefore, mass of solvent, water = 1022 g - 35.838 g = 986.16 g or 0.98616 Kg
Molality of Ca²⁺ = moles / mass of solvent
= 0.01053 moles / 0.98616 Kg
= 0.0107 m
Similarly, molarity of HCO³⁻ = 2.11 mM or 0.00211 M
Consider a volume of 1 L (1000 ml) of solution
So, moles of HCO³⁻ = 0.00211 M × 1L = 0.00211 moles
So, mass of solvent, water = 1022 g - 35.838 g = 986.16 g or 0.98616 Kg
Molality of HCO³⁻ = moles of HCO³⁻ / mass of solvent
= 0.00211 moles / 0.98616 Kg
= 0.00214 m