Chemistry Help needed!!

Question

SHOW WORK. A 6.0ft person weighs 168lb. Express this person's height in meters and weight in kilograms.(1lb=453.g;1m=3.38ft.) solve using dimensional analysis

Answer 1

Height:

6.0 ft x (1 m / 3.38 ft) = 1.8 m

Weight:

168 lb x (453.0 g / 1 lb) = 76104 g x (1 Kg / 1000 g) = 76 Kg

Answer 2

I can set you up to solve this problem, but I want you to find the answer on your own.

-When doing dimensional analysis, it is important to understand how to write conversion factors.

-Here is the simplest formula to follow for writing conversion factors:

Given Unit (Desired Unit / Given Unit) = Desired Unit

-Dividing a number with a given unit by a different number with the same unit will cancel out the given unit and give the unit you are trying to solve for.

-For example, say I want to figure out how many millimeters are in 7.5 inches. And I am given the the information 1 inch = 2.54 centimeters.

-You would write your conversion factor as follows:

7.5 inches (2.54 cm / 1 inch) = 19.8 cm

(notice how dividing 7.5 inches by 1 inch cancels out the inch unit and leaves you with centimeters)

-However, this problem wants my answer in millimeters. So we have to convert centimeters to millimeters.

*Hint: it will be very helpful if you memorize your metric prefixes since you will likely have to do a lot of conversions involving different metric prefixes in the future*

centi = 10^-2 and milli =10^-3 (the ^ symbol indicates I am raising 10 to a power).

The difference between centi and milli is equal to 10^-1, so 1 mm = 10^-1 cm

So, you will write your conversion factor as such:

19.8 cm ( 1 mm / 10^-1 cm ) = 198 mm.

If you follow these steps using the numbers provided from your problem, you should be able to solve your problem on your own. (remember that 1 g = 10^3 kg when doing your mass conversions)