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Dimensional Analysis

Match these equivalent measurements:

1. 100 mL
a) 10 microL
b) 0.00001 L
c) 1.0 dL
d) 100 nL

2. 0.10 mL
a) 10 microL
b) 0.00001 L
c) 1.0 dL
d) 100 nL

3. 0.0001 mL
a) 10 microL
b) 0.00001 L
c) 1.0 dL
d) 100 nL

4. 0.01 mL
a) 10 microL
b) 0.00001 L
c) 1.0 dL
d) 100 nL

Answer :

Final answer:

To match these measurements, we convert each one to its equivalent using the metric system. Nevertheless, some measurements do not have corresponding pairs in the available options.

Explanation:

In Chemistry, the concept of equivalent measurements is an elemental principle. For the given set of measurements, one must simply understand the metric system to translate between units. Consider the following:

  • 1 dL = 100 mL, so 1 would match with c.
  • 1 mL = 0.001 L, so 0.10 mL would therefore be equivalent to 0.0001 L, making 2 match with b.
  • 1 mL = 1,000,000 nL, so 0.01 mL = 10,000 nL, but there's no matching pair. But 0.01 mL is also equivalent to 10 µL, but there's no matching pair.
  • Further to this, 1 mL also equals 1,000,000 µL, therefore 0.0001 mL equals to 0.1µL, but there is no matching pair.

Note, these might be typos or irrelevant measurements cannot have equivalent pairs in this case.

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