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what is the solute and the solution for a solvent of 44.8g and percent of 4.8

2 Answers

3 votes

Answer:


\boxed{\text{Mass of solute = 2.26 g; mass of solution = 47.1 g}}

Step-by-step explanation:


\text{Mass percent} = \frac{\text{mass of solute }}{\text{mass of solute + mass of solvent}} * 100 \, \%

1. Calculate the mass of solute

Let x = mass of solute. Then


\begin{array}{rcl}4.8 & = & (x)/(x + 44.8) * 100\\\\4.8(x + 44.8) & = & 100x\\4.8x + 215 & = & 100x\\215 & = & 95.2x\\\\x & = & (215)/(95.2)\\\\x & = & \textbf{2.26 g}\\\end{array}

2. Calculate the mass of solution

Mass of solution = mass of solute + mass of solvent = (2.26 + 44.8) g

= 47.1 g


\boxed{\textbf{Mass of solute = 2.26 g; mass of solution = 47.1 g}}

User Boomer
by
5.2k points
6 votes

Answer:

  • The solute is 2.26 g and the solution is 47.1 g

Step-by-step 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
User Shui
by
4.9k points