An aqueous solution of copper (I) chloride is 15.7% by mass copper (I) chloride. Copper (I) is 35.8% by mass chlorine. If the solution has a density of 1.045 g/cm³, how many gallons of solution contain 2.3 kg of copper?
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To solve this problem, we need to follow these steps:
1. Calculate the mass of copper (I) chloride in the solution:
Given that the solution is 15.7% by mass copper (I) chloride and the mass of the solution is 2.3 kg, we can calculate:
Mass of copper (I) chloride = 15.7% × 2.3 kg
2. Calculate the mass of chlorine in the copper (I) chloride:
Given that copper (I) is 35.8% by mass chlorine, we can calculate:
Mass of chlorine = 35.8% × mass of copper (I) chloride
3. Calculate the volume of the solution:
Density = mass/volume
Rearranging the equation, we have:
Volume = mass/density
Substituting the known values, we get:
Volume of solution = 2.3 kg / 1.045 g/cm³
4. Convert the volume of the solution from cm³ to gallons:
1 cm³ = 0.000264172 gallons
5. Multiply the volume of the solution in cm³ by the conversion factor to get the volume in gallons.
Following these steps, we can solve the problem using the given values.