Answer:
[tex]m_w=439.2g[/tex]
Explanation:
Hello!
In this case, since the by-mass percent of a solution is a measure of the mass of the solute over the mass of the solution:
[tex]\%m/m=\frac{m_{solute}}{m_{solution}} *100\%[/tex]
As we know the mass of the solution and the by-mass percent, we can compute the mass of glucose in the 480 g of solution:
[tex]m_{solute}=\frac{\%m/m*m_{solution}}{100\%}[/tex]
Thus, by plugging in the data, we obtain:
[tex]m_{solute}=\frac{8.5\%*480g}{100\%}=40.8g[/tex]
Finally, since the solution is made up of glucose and water, we compute the mass of water as follows:
[tex]m_w=m_{sol}-m_{solute}=480g-40.8g\\\\m_w=439.2g[/tex]
Best regards!