There is a 30% concentration of cobalt chloride in 90g of a water and cobalt chloride solution. What mass, in grams, of water has to evaporate to have a 40% concentration of cobalt chloride? g

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There is a  30% concentration of cobalt chloride in  90g of a water and cobalt chloride solution. What mass, in grams, of water has to evaporate to have a  40% concentration of cobalt chloride? g

Bytelearn · Accepted Answer

Determine Cobalt Chloride Mass: Determine the mass of cobalt chloride in the original solution. The original solution has a 30% concentration of cobalt chloride, which means that 30% of the total mass is cobalt chloride. Calculation: 90g × 30% = 90g × 0.30 = 27g of cobalt chloride.Calculate Water Mass: Calculate the mass of water in the original solution. The total mass of the solution is 90g, and we have already determined that 27g of that is cobalt chloride. Therefore, the mass of water is the total mass minus the mass of cobalt chloride. Calculation: 90g - 27g = 63g of water.Find Final Solution Mass: Determine the final mass of the solution to have a 40% concentration of cobalt chloride. We know that the mass of cobalt chloride will remain the same since only water is evaporating. To find the final mass of the solution (after evaporation) that results in a 40% concentration, we set up the equation: 27g (mass of cobalt chloride) = 40% (final mass of solution). Calculation: 27g = 0.40 × (final mass of solution).Solve for Final Mass: Solve for the final mass of the solution. Rearrange the equation from Step 3 to solve for the final mass of the solution. Calculation: (final mass of solution) = 27g / 0.40 = 67.5g.Calculate Evaporated Water Mass: Calculate the mass of water that needs to evaporate. To find the mass of water that needs to evaporate, subtract the final mass of the solution from the original mass of the solution. Calculation: 90g (original mass) - 67.5g (final mass) = 22.5g of water to evaporate.

There is a $30 \%$ concentration of cobalt chloride in $90 \mathrm{~g}$ of a water and cobalt chloride solution. $\newline$ What mass, in grams, of water has to evaporate to have a $40 \%$ concentration of cobalt chloride? $\newline$ g

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There is a 30% 30 \% 30% concentration of cobalt chloride in 90 g 90 \mathrm{~g} 90 g of a water and cobalt chloride solution.\newlineWhat mass, in grams, of water has to evaporate to have a 40% 40 \% 40% concentration of cobalt chloride?\newlineg

There is a $30 \%$ concentration of cobalt chloride in $90 \mathrm{~g}$ of a water and cobalt chloride solution. $\newline$ What mass, in grams, of water has to evaporate to have a $40 \%$ concentration of cobalt chloride? $\newline$ g