Respuesta :
Answer:
- The solute is 2.26 g and the solution is 47.1 g
Explanation:
1) Percent formula: % = (mass of solue / mass of solution)×100
- mass of solute = x
- mass of solvent = 44.8 g
- mass of solution = mass of solute + mass of solvent = x + 44.8
Substitue the values in the percent formula:
- 4.8 = 100 x / (x + 44.8 g)
- 0.048 = x / (x + 44.8)
- 0.048 (x + 44.8) = x
- x - 0.048x = 2.15
- x = 2.15 / ( 1 - 0.048)
- x = 2.26
Mass of solute = 2.26 g ← answer
2) Mass of solution = mass of solute + mass of solvent
- Mass of solution = 2.26g + 44.8g = 47.1 g ← answer
Answer:
[tex]\boxed{\text{Mass of solute = 2.26 g; mass of solution = 47.1 g}}[/tex]
Explanation:
[tex]\text{Mass percent} = \dfrac{\text{mass of solute }}{\text{mass of solute + mass of solvent}} \times 100 \, \%[/tex]
1. Calculate the mass of solute
Let x = mass of solute. Then
[tex]\begin{array}{rcl}4.8 & = & \dfrac{x}{x + 44.8} \times 100\\\\4.8(x + 44.8) & = & 100x\\4.8x + 215 & = & 100x\\215 & = & 95.2x\\\\x & = & \dfrac{215}{95.2}\\\\x & = & \textbf{2.26 g}\\\end{array}[/tex]
2. Calculate the mass of solution
Mass of solution = mass of solute + mass of solvent = (2.26 + 44.8) g
= 47.1 g
[tex]\boxed{\textbf{Mass of solute = 2.26 g; mass of solution = 47.1 g}}[/tex]