Question

How many milliliters of the 0.5% solution must be added to the 2% solution to get a 0.65% solution?

Answer 1

To solve the problem, use the equation (concentration of solution A)(volume of solution A) + (concentration of solution B)(volume of solution B) = (concentration of final solution)(total volume of final solution). Plug in the given values, then simplify and solve the equation to find the relationship between the volume of solution B and the total volume of the final solution.

Step-by-step explanation:

To solve this problem, we can use the equation:

(concentration of solution A)(volume of solution A) + (concentration of solution B)(volume of solution B) = (concentration of final solution)(total volume of final solution)

Let's use the given information:

• Concentration of solution A (0.5%)
• Concentration of solution B (2%)
• Concentration of final solution (0.65%)
• Volume of solution B (unknown, represented as x)
• Total volume of final solution (unknown, represented as y)

Plugging in the values into the equation, we have:

(0.005)(x) + (0.02)(y - x) = (0.0065)(y)

Simplifying and solving the equation gives us:

0.005x + 0.02y - 0.02x = 0.0065y

0.0165y - 0.015x = 0.005x

0.0115y = 0.02x

0.023y = 2x

23y = 200x

To solve for y, we can choose a value for x (the volume of solution B) and find the corresponding value for y (the total volume of the final solution).

Answer 2

whats the attachemnt