Question

which of the following is the number of grams of dextrose in 500 ml of dextrose 10% in water (d10w)? 10 g 50 g 100 g 500 g

Explanation:

Step1: Recall percentage - mass formula

Percent - mass by volume ($\% w/v$) is defined as $\% w/v=\frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}}\times100$.
We are given that $\% w/v = 10\%$ and volume of solution $V = 500$ mL, and we need to find the mass of solute $m$.

Step2: Rearrange the formula to solve for mass

From $\% w/v=\frac{m}{V}\times100$, we can solve for $m$. First, rewrite the formula as $m=\frac{\% w/v\times V}{100}$.

Step3: Substitute the given values

Substitute $\% w/v = 10$ and $V = 500$ mL into the formula: $m=\frac{10\times500}{100}$.
$m = 50$ g.

Answer:

50 g