Question

50 g of sugar is dissolved in 400 g of water.the mass percentage of sugar is

Answer 1

$\bigstar$ Given

50 g of sugar is dissolved in 400 g of water

$\bigstar$ To Find

Mass percentage of sugar

$\bigstar$ Solution

We know that

$\sf \longrightarrow Mass \ \% \ of \ sugar=\dfrac{Mass \ of \ sugar}{Mass \ of \ solution} \times 100$

Given that

50 g of sugar is dissolved in 400 g of water

Hence

Mass of sugar = 50 g

Mass of solution = Mass of sugar + Mass of water

Therefore

Mass of solution = 50 g + 400 g = 450 g

Substituting the values

We get

$\sf \longrightarrow Mass \ \% \ of \ sugar=\dfrac{50}{450} \times 100$

$\sf \longrightarrow Mass \ \% \ of \ sugar=0.1111 \times 100$

Hence

$\sf \longrightarrow Mass \ \% \ of \ sugar=11.11 \ \%$

Answer 2

Mass of solute = 50 g (Sugar)

Mass of solvent = 400 g (Water)

$∵$ Mass of Solution = Mass of solute + Mass of solvent,

$\therefore$ Mass of solution = 50 g + 400 g = 450 g

We know,

w/w% of concentration = (Mass of solute)/(Mass of solution) × 100%

$\leadsto$ (50 g)/(450 g) × 100%

$\leadsto$ 1/9 × 100%

$\leadsto$ 11.1% (Answer)