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marta [7]
3 years ago
7

Which of the following represents a 1.00 M (M = mol/dm3) aqueous solution of glucose (C6H12O6)?

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0

Answer:

Option C. 90.0 g glucose per 500 cm3 water

Step-by-step explanation:

1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.

The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.

Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.

For option B:

We shall determine the number of mole of C6H12O6, followed by the concentration.

This is illustrated below:

Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol

Mass of C6H12O6 = 10g

Mole = Mass /Molar Mass

Mole of C6H12O6 = 10/180 = 0.056 mole.

Volume of water = 10cm³ = 10/1000 = 0.01dm³

Concentration = mole /Volume

Concentration = 0.056/0.01 = 5.6mol/dm³

Option B is wrong

For option C:

We shall determine the number of mole of C6H12O6, followed by the concentration.

This is illustrated below:

Molar mass of C6H12O6 = 180g/mol

Mass of C6H12O6 = 90g

Mole = Mass /Molar Mass

Mole of C6H12O6 = 90/180 = 0.5mole

Volume of water = 10cm³ = 500/1000 = 0.5dm³

Concentration = mole /Volume

Concentration = 0.5/0.5 = 1mol/dm³

Option C is correct.

For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.

From the above illustrations, option C is the correct answer.

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Answer:

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Adding a negative is the same as subtracting a positive

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3 years ago
Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9
Kryger [21]

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

<h3>Axis of symmetry</h3>

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as x=\frac{-b}{2a}.

<h3>Axis of symmetry of f(x) = 3x² + 12x + 9</h3>

In this case, you know:

  • a= 3
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Replacing in the definition of axis of symmetry:

x=\frac{-12}{2x3}

Solving:

x=\frac{-12}{6}

<u><em>x= -2</em></u>

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

Learn more about axis of symmetry:

brainly.com/question/24737967

brainly.com/question/10473291

#SPJ1

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Answer:

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