The mass of water and glucose required to make 250 g of 40% solution of glucose is

A
$100 g$ and $150 g$ respectively
B
$120 g$ and $130 g$ respectively
C
$150 g$ and $100 g$ respectively
D
$200 g$ and $50 g$ respectively

Solution:

The mass of water and glucose required to make

250 g

40 %

solution of glucose are

100 g

and

150 g

respectively.
According to the question,

40 %

of the solution of glucose is made in a total

250 g

solution. It is an example of type w/w (mass by mass percentage) to calculate the concentration of the solution.
Now we calculate the ‘mass by mass per cent of the solution’
Mass of glucose

= X g

Mass of solution

= 250 g

Concentration of solution

= \frac{Mass of glucose}{Total mass of solution} \times 100

\Rightarrow 40 = \frac{X}{250} \times 100

\Rightarrow X = \frac{40 \times 250}{100}

\Rightarrow X = 100 g

Mass of solution = mass of glucose + mass of water
Mass of water = mass of solution - mass of glucose

\Rightarrow 250 g - 100 g

\Rightarrow 150 g

The mass of water and glucose required to make $250 g$ of $40 %$ solution of glucose is

Solution:

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