A student mixes 450 mL of water and 116 mL of 7.90 x 10-5 M greenfood dye solution. What is the concentration of this new dilute solution of green food dye?
7.90E-5 x [116/(116+450)] = ?
Note: This assumes that the volumes are additive; i.e., that 116 mL + 450 mL really is 566 mL. Some solutions are not additive.
the volume has increased by a factor of (450+116)/116 = 4.879
so, the concentration has decreased by that same factor.
So, that makes it 7.90/4.879 * 10^-5 = 1.62*10^-5 M
To find the concentration of the new dilute solution of green food dye, we need to consider the total volume after mixing the water and green food dye solution. In this case, the water has a volume of 450 mL, and the green food dye solution has a volume of 116 mL.
To find the total volume, we simply add the volumes of the water and green food dye solution: 450 mL + 116 mL = 566 mL.
Next, we need to determine the concentration of the green food dye in the new solution. The concentration of the green food dye solution is given as 7.90 x 10-5 M. The concentration is specified in units of moles per liter (M). Since we have a total volume of 566 mL, we need to convert this to liters by dividing by 1000: 566 mL ÷ 1000 = 0.566 L.
Now, we can calculate the concentration of the new dilute solution by dividing the moles of green food dye by the volume in liters. To do this, we multiply the given concentration by the volume in liters:
Concentration of new dilute solution = (7.90 x 10-5 M) x (0.566 L)
Using a calculator, we can solve this:
Concentration of new dilute solution = 4.47 x 10-5 M
Therefore, the concentration of the new dilute solution of green food dye is 4.47 x 10-5 M.