calculate the percent by mass of nacl if 2.8*10^-3 kg of nacl is present in 16.8*10^-3 kg of solution

Question

calculate the percent by mass of nacl if 2.8*10^-3 kg of nacl is present in 16.*10^-3 kg of solution

Answer 1

To calculate the mass percent of NaCl (sodium chloride) in a given solution, you'll need to know the mass of NaCl and the total mass of the solution.

In your question, you have:

Mass of NaCl (m_NaCl) = 16.8 kg

Mass of the solution (m_solution) = 2.8 x 10² × 10^-3 x 10³ kg

Now, use the formula for mass percent: 

\(\text{Mass Percent (mass %)} = \frac{\text{Mass of solute}}{\text{Mass of solution}} \times 100\)

Substitute the values:

\(\text{Mass Percent (mass %)} = \frac{16.8 \text{ kg}}{2.8 x 10^2 × 10^-3 x 10^3 \text{ kg}} \times 100\)

Now, calculate the mass percent:

\(\text{Mass Percent (mass %)} = \frac{16.8}{2.8 \times 10^2 \times 10^{-3} \times 10^3} \times 100\)

\(\text{Mass Percent (mass %)} = \frac{16.8}{2.8 \times 10^{2-3+3}} \times 100\)

\(\text{Mass Percent (mass %)} = \frac{16.8}{2.8} \times 100\)

\(\text{Mass Percent (mass %)} = 6 \times 100\)

\(\text{Mass Percent (mass %)} = 600\)

So, the mass percent of NaCl in the given solution is 600%.