The following calibration curve was produced for Red $40.$ The slope was calculated to be $2\mathrm{.}1033{10}^4.$ The

$4$a$.$ A sample of powered drink mix with a mass of $0\mathrm{.}2006$ grams is dissolved in water to make $250\mathrm{.}00mL$ of solution. A sample of this solution is placed in the spectrophotometer and its absorbance is measured as $0\mathrm{.}2996.$ Based on the calibration curve above, calculate the molarity of Red $40$ in the unknown.

b$.$ How many grams of Red $40$ are in the drink mix solution?

c$.$ What is the $\%$ by mass of Red $40$ in the drink mix powder?

$5.$ A sample of powdered drink mix with a mass of $12\mathrm{.}22g$ is dissolved in water to make $250\mathrm{.}00mL$ of solution. $50\mathrm{.}00mL$ of the resulting solution is transferred to a new container and diluted to a total volume of $250\mathrm{.}00mL.$ How many grams of the drink mix powder are in the second solution? $($hint: there is a very simple relationship between the concentrations of these two solutions... this is a basic one$-$step calculation!$)$

grams$8$