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3 years ago

34. Explain how dimensional analysis is used to solve problems.

Chemistry

1 answer:

alisha [4.7K]3 years ago

7 0

Answer: By understanding conversion factors and how they are related to each other

Explanation:

Dimensional Analysis is a step by step approach to solving problems in Physics, Chemistry , and Mathematics. It involves having a clear knowledge and understanding to be able to convert a given unit to another in the same dimension using conversion factors and knowing how they are related to each other.

For instance, In Chemistry, we want to Convert 120mL to L.(note that ml stands for millilitres and ;L stands for litres)

Or first approach will be to write out the conversion factor related to our problem which is

1000ml =1L

such that 120ml = (we cross multiply))

giving us 120ml x 1L/1000ml =0.12L

This same process is applied to convert any type of dimensional analysis problems be it physics or mathematics.

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Answer:44.01% of the spheres are copper

Explanation:

mass Cu + mass Pb = 4.35kg = 4.35 x 1000 = 4350g

But

Volume= mass / density

Let the volume of copper be C

density of Cu = 8.94 g/cm^3

Mass of copper = 8.94C

Let the volume of Lead be L

density of lead = 11.34g/cm^3

Mass of lead = 11.34L

Since

mass Cu + mass Pb = 4350kg

therefore

8.94C + 11.34L = 4350g----- EQN A

also

volume of copper + volume of lead = 423 cm^3

Volume of Lead ,L=423-C

putting the value of C = 423-L in Equation A becomes

8.94C + 11.34L = 4350g

8.94C + 11.34(423-C)= 4350g

8.94C+ 4796.82-11.34C=4350

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C= 186.175

Volume of copper = 186.175cm^3

Percentage copper = volume copper / total volume metal x 100/1

= 186.175 cm^3 / 423 cm^3 x 100/1

= 44.01%

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