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Answer:8 grams of glucose are needed to prepare 400. ml of a 2.0%(m/v) glucose solution.

Explanation:

Volume of the solution = 400 mL

Mass by volume percentage of the solution = 2%

Mass of the glucose = m

The mass by volume percent is given by formula ;

[tex](m/v\%)=\frac{\text{mass of the solute}}{\text{Volume of the solution}}\times 100[/tex]

[tex]2\%=\frac{m}{400}\times 100[/tex]

m = 8 g

8 grams of glucose are needed to prepare 400. ml of a 2.0%(m/v) glucose solution.

Mass Concentration is generally denoted as mass of solute (in grams) per ml volume of solution.

Mass Concentration:

It is generally denoted as mass of solute (in grams) per ml volume of solution. It can be calculated by formula,

[tex]\bold {p = \frac{m}{v} \times 100 }[/tex]

Where,

p = mass concentration (m/v%) =  2%

m = mass in grams =  ?

v = volume in mL = 400mL

Put the values in the formula

[tex]\bold {2 = \frac{m}{400} \times 100 }[/tex]

[tex]\bold { m = 8 }[/tex]

Hence, we can conclude that the 8 g of glucose is needed to prepare 400mL of a 2%(m/v) solution.

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