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Kryger
25 days ago
12

Using a 10-mL graduate calibrated in 1-mL units, explain how you would measure 1.25 mL of a dye solution by the aliquot method.

Use water as the diluent. Module 3: Units of Measurement 2 0
Mathematics
1 answer:
PIT_PIT [12.4K]25 days ago
4 0

Answer:

To measure 1.25 mL of dye solution, use 5 mL of dye combined with 3 mL of water

Consequently, the total solution volume reaches 8 mL.

Next,

This 8 mL solution consists of

part dye and

part water.\frac{\textup{5}}{\textup{8}}\frac{\textup{3}}{\textup{8}}In the following step, extract 2 mL of this solution.

Thus,

The dye content in the 2 mL solution is

\frac{\textup{5}}{\textup{8}}\times2\ mLor

The 2 mL solution contains 1.25 mL of dye

Hence,

the required 1.25 mL of dye is now accurately measured.

Step-by-step explanation:

Given:

A 10-mL graduated cylinder calibrated in 1-mL increments

The dye solution to be measured = 1.25 mL

Now,

Combine 5 mL of dye with 3 mL of water

This creates a total solution volume of 8 mL.

Next,

This 8 mL solution comprises

part dye and

part water.\frac{\textup{5}}{\textup{8}}\frac{\textup{3}}{\textup{8}}Then, extract 2 mL from this solution.

Thus,

The concentration of dye in the 2 mL solution measures

\frac{\textup{5}}{\textup{8}}\times2\ mLor

1.25 mL of dye per 2 mL solution

Therefore,

1.25 mL of dye has been accurately determined.

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The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.

Explanation

This can be simplified as follows:

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We will divide this into two segments:

\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }... Equation-1

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This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.

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We will move the variable M to one side of the equation in order to isolate it and solve for its value.

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\boxed{ \ 60 \times 100) = M \times 1,000 \ }

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\boxed{ \ \frac{1}{1,000} \times M \times 1,000 = \frac{1}{1,000} \times 6,000 \ }

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- - - - - - -

Alternative approach for the second step:

60 hundreds equals to __ thousands

\boxed{ \ 6 \times 10 \ hundreds = \ M \ thousands} \ }

\boxed{ \ 6 \times thousands = \ M \ thousands} \ }

\boxed{\boxed{ \ M = 6 \ }}

Additional resources

  1. A more detailed version of this topic
  2. 2 thousands 7 tens divided by 10 equals what?
  3. 100 is equivalent to 1/10 of which number?

Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange

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