Final answer:
The mass of solid dissolved in 1000 cm³ of the sea water is 33.2 g, found by subtracting the mass of the empty evaporating basin from the mass of the basin with dry solid residue, and then using a proportional relationship to scale up from 50 cm³ to 1000 cm³.
Step-by-step explanation:
To calculate the mass of solid dissolved in 1000 cm³ of the sea water, we'll start with the information provided. First, we need to find the mass of the dry solid residue. We do this by subtracting the mass of the empty evaporating basin from the mass of the basin with the dry solid residue:
Mass of dry solid residue = Mass of basin and residue - Mass of empty basin
Mass of dry solid residue = 25.23 g - 23.57 g
Mass of dry solid residue = 1.66 g
This mass of solid residue comes from 50 cm³ of sea water. To find the mass of solid dissolved in 1000 cm³, we use a proportional relationship:
(Mass of solid in 50 cm³) / 50 cm³ = (Mass of solid in 1000 cm³) / 1000 cm³
Now we can calculate:
1.66 g / 50 cm³ = (Mass of solid in 1000 cm³) / 1000 cm³
Mass of solid in 1000 cm³ = (1.66 g / 50 cm³) × 1000 cm³
Mass of solid in 1000 cm³ = (1.66 g × 20)
Mass of solid in 1000 cm³ = 33.2 g
Therefore, the mass of solid dissolved in 1000 cm³ of sea water is 33.2 g.