# chemistry

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How do I solve this question using dimensional analysis?

An auto engine has a displacement of 1.6 liters. What is it in cubic cent. and in cubic in.?

What is dimensional analysis and how to I convert liters into cubic cent. and cubic in.?

• chemistry -

What they are calling dimensional analyis is just the ability to convert from one set of units to another. A recommended way you do it is with "label factors". These are a series of multiplied conversion factors with labels on them, that get cancelled out in numerators and denominators until you get the units that you want.

For example

1.6 liters x 1000 cm^3/liter = 1600 cm^3

1600 cm^3 x (1 inch/2.54 cm)^3
97.64 in^3

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