Question

calculate the concentration of a solution which is prepared by dissolving 30 gram of sugar in 400 gram of water​

Answer 1

Answer:

7.5%

Explanation:

A solution contains a solid solute (sugar ) dissolved in a liquid solvent (water),so we have to calculate the concentration of this solution in terms of the mass percentage of solute (sugar ) we, Know that :

Concentration of solution =Mass of soluteMass of solution ×100" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 13px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: 0px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; color: rgb(0, 0, 0); font-family: Lato, sans-serif; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; widows: 2; -webkit-text-stroke-width: 0px; background-color: rgb(224, 234, 255); text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; position: relative;">=Mass of soluteMass of solution ×100=Mass of soluteMass of solution ×100

here, Mass of solute (sugar )=30g

And ,Mass of solvent (water)=370g

So ,Mass of solution = Mass of solute + Mass of solvent

=30+370

=400 g

Now ,Putting the values Of mass of solute and mass of solution in the above formula formula ,WE get :

Concentration of solution =30400×100" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 13px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: 0px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; color: rgb(0, 0, 0); font-family: Lato, sans-serif; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; widows: 2; -webkit-text-stroke-width: 0px; background-color: rgb(224, 234, 255); text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; position: relative;">=30400×100=30400×100

=304" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 13px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: 0px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; color: rgb(0, 0, 0); font-family: Lato, sans-serif; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; widows: 2; -webkit-text-stroke-width: 0px; background-color: rgb(224, 234, 255); text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; position: relative;">=304=304

7.5 per cent (or 7.5% )

THus , the concentration of this sugar solution is 7.5 per cent (or that it is a 7.5 % sugar solution)

Answer 2

Answer:

Concentration of a solution which is prepared by dissolving 30 g of sugar in 400 g of water is 7.5 %.

Explanation:

(1)Concentration of a solution can be represented by molality

Molality = Number of moles of solute ÷ mass of solvent in kg

Given that mass of sugar = 30 g

Molecular formula of sugar is $C_{12} H_{22} O_{11}$

Molar mass of sugar = (12×12) + (1×22) + (16×11)

                                  = 342 g/mol

Number of moles = $\frac{30}{342}$

                             = 0.088 moles

Molality = Number of moles of solute ÷ mass of solvent in kg

Given that mass of water = 400 g = 0.4 kg

Molality = $\frac{0.088}{0.4}$

             = 0.22 m

(2)Concentartion can also be represented as mass percentage

Mass percentage = (mass of solute ÷ mass of solvent )×100

                             = $\frac{30}{400}$ × 100

                             = 7.5 %