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Nalorphine, a relative of morphine, is used to combat withdrawal symptoms in heroin users. How many milliliters of a 0.40% (m/v) solution of nalorphine must be injected to obtain a dose of 1.5 mg?
9. Solutions
Percent Concentrations
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Calculate the grams of solute needed to prepare the following:450 mL of a 2.0% m/v KOH solution.
A
1.1 g
B
9.0 g
C
4.5 g
D
2.3 g
Verified step by step guidance1
Understand that a 2.0% m/v (mass/volume) solution means there are 2.0 grams of solute (KOH) per 100 mL of solution.
Set up a proportion to find the grams of KOH needed for 450 mL of solution: \( \frac{2.0 \text{ g KOH}}{100 \text{ mL solution}} = \frac{x \text{ g KOH}}{450 \text{ mL solution}} \).
Cross-multiply to solve for \( x \), which represents the grams of KOH needed: \( 2.0 \times 450 = 100 \times x \).
Simplify the equation to find \( x \): \( 900 = 100x \).
Divide both sides by 100 to isolate \( x \): \( x = \frac{900}{100} \).
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