Question

sugar syrup is 60%(w,W) and it's density is 1.5g/cc the weight of sugar present in 1 litre of sugar solution is​

Answer 1

Answer :-

900 grams of sugar is present in 1 litre of sugar solution .

Explanation :-

We have :-

→ Concentration (w/w %) = 60 %

→ Density of the solution = 1.5 g/cc

→ Volume of solution = 1 L = 1000 mL

________________________________

Density of the solution is given as "1.5 g/cc" . We can write it as "1.5 g/mL" . [As 1 cc = 1 mL] .

Weight of the solution :-

= Volume × Density

= 1000 × 1.5

= 1500 g

Let the required weight of sugar we 'x' grams. Putting values in the formula of weight by weight concentration, we get :-

⇒ Mass of solute/Mass of solution × 100

⇒ x/1500 × 100 = 60

⇒ 100x = 1500(60)

⇒ 100x = 90000

⇒ x = 90000/100

⇒ x = 900 g

Answer 2

Given :-

Sugar syrup is 60%(w,W) and it's density is 1.5g/cc

To Find :-

Weight of sugar present in 1 litre of sugar solution is​

Solution :-

If there is a syrup of 100g then 60% of 100

60/100 × 100

60 gm of sugar is present

D = M/V

1.5 = 100/V

1.5 × V = 100

1.5V = 100

V = 100/1.5

V = 1000/15

V = 200/3

Now

1 l = 100 ml

60 g of sugar makes 200/3 l syrup.

1 ml of syrup = (60)/(200/3)

1000 ml = 1000 × 60/(200/3)

1000 ml = 1000 × 60/200 × 3

1000 ml = 5 × 60 × 3

1000 ml = 900 g