To prepare for a lab experiment, Brad is making a solution that uses two types of concentrations: 75 mL of \( 50 \% \) salt and 125 mL of \( 10 \% \) salt. What is the salt concentration of the mixed solution? a.) \( 16 \% \)
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The Deep Dive
To find the salt concentration of Brad's mixed solution, we need to calculate the amount of salt in each solution. The 75 mL of 50% salt solution contains \( 75 \times 0.5 = 37.5 \) mL of salt, while the 125 mL of 10% salt contains \( 125 \times 0.1 = 12.5 \) mL of salt. Adding these two amounts together gives us \( 37.5 + 12.5 = 50 \) mL of salt total. The total volume of the mixed solution is \( 75 + 125 = 200 \) mL. Finally, the concentration of the mixed solution is \( \frac{50}{200} \times 100 = 25\% \) salt. Oops! I’m afraid that leads us to the misunderstanding regarding your options. So, the correct answer is actually not \( 16\% \), it is \( 25\% \) salt concentration! Always double-check those calculations!
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