Posted by **Amber** on Wednesday, January 23, 2008 at 5:38pm.

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 -
**drwls**, Wednesday, January 23, 2008 at 9:40pm
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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