Question

Calculate the masses of cane sugar and water required to prepare 250 g of 25% solution of cane sugar

Answer 1

$\bigstar$ Answer $\bigstar$

$\checkmark$ To Find:

The masses of cane sugar and water required to prepare 250 g of 25% solution of cane sugar

$\checkmark$ Solution:

We know that,

$\red{\sf Mass \ Percent=\left(\dfrac{Mass \ of \ Solute}{Mass \ of \ Solution}\right) \times 100}$

Here,

The Solute = Cane Sugar

The Solvent = Water

Given that,

Mass Percent = 25

Mass of Solution = 250 g

According to the Question,

We are asked to calculate the masses of cane sugar and water required to prepare 250 g of 25% solution of cane sugar

Therefore,

$\blue{\implies \sf 25=\left(\dfrac{Mass \ of \ Solute}{250 \ g}\right) \times 100}$

$\orange{\implies \sf 25=\left(\dfrac{Mass \ of \ Cane \ Sugar}{250 \ g}\right) \times 100}$

$\green{\implies \sf Mass \ of \ Cane \ Sugar = \dfrac{25 \times 150 \ g}{100} }$

$\red{\implies \sf Mass \ of \ Solute = 62.5 \ g}$

$\pink{\implies \sf Mass \ of \ Cane \ Sugar = 62.5 \ g}$

We know that,

Solution = Solute + Solvent

According to the Question,

We are asked to calculate the masses of cane sugar and water required to prepare 250 g of 25% solution of cane sugar

Since,

Mass of Solution = 250 g

Mass of Solute = 62.5 g

Therefore,

Solvent = Solution - Solute

Hence,

$\blue{\sf \implies Mass \ of \ Solvent = 250-62.5=187.5 \ g}$

Therefore,

$\pink{\sf \implies Mass \ of \ Solvent =187.5 \ g}$

Answer 2

Answer:

YOUR QUESTION :

Calculate the masses of cane sugar and water required to prepare 250 g of 25% solution of cane sugar.

SOLUTION :

Given:

Mass percent of the solution = 25%

Mass of solution = 250 g

To find:

Mass of solvent (Cane sugar) = ?

Formula to be used:

Mass percent =

$\frac{massof \: solute}{massof \: solution} \times 100$

Calculation:

Let the mass of cane sugar be 'X'.

∴ Mass percent =

$\frac{x}{250} \times 100 \\ 25 = \frac{x}{250} \times 100 \\ x = \frac{25 \times 250}{100} \\ x = \frac{25 \times 25}{10} \\ x = \frac{125}{2}$

x = 62.5

Conclusion:

The mass of cane sugar required to prepare 250 gram of 25% solution of cane sugar is calculated as 62.5 g.