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WITCHER [35]
3 years ago
10

How many milliliters of syrup are in a 100-ml sample containing 6.55 g of syrup per 20 mL if the syrup's specific gravity is 1.3

1?
Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

25 milliliters

Step-by-step explanation:

Given:

volume of sample = 100 ml

Syrup present in sample = 6.55 g per 20 mL

Therefore in 100 mL, amount of syrup present = \frac{\textup{6.55}}{\textup{20}}\times100

or

amount of syrup present in 100 mL sample = 32.75 grams

Now,

Specific gravity of the syrup = 1.31

also,

Specific gravity of the syrup = \frac{\textup{Density of syrup}}{\textup{Density of water}}

or

1.31 = \frac{\textup{Density of syrup}}{\textup{1 g/mL}}

or

Density of syrup = 1.31 g/mL

also,

Density = \frac{\textup{Mass}}{\textup{Volume}}

therefore,

1.31 = \frac{\textup{32.75}}{\textup{Volume of syrup in the sample}}

or

Volume of syrup in the sample = \frac{\textup{32.75}}{\textup{1.31}}

or

Volume of syrup in the sample = 25 milliliters

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