Using words, explain all steps of dimensional analysis when converting 6.7 hectometers to meters. You must explain the set up of the problem and give your final answer.
A minimum of 4 complete sentences are

Explanation:

Dimensional analysis uses the fact that any number can be multiplied by one without changing its value.

You want to convert hectometres to metres, so you multiply the hectometres by a conversion factor that equals one.

For example, you know that hecto  means "× 10², so  

1 hm = 100 m

If we divide each side by 1 hm, we get 1 = 100 m/1 hm.

If we divide each side by 100 m, we get 1 hm/100 m = 1.

So, we can use either (100 m/1 hm) or (1 hm/100 m) as a conversion factor, because each fraction equals one.

We choose the former, because it has the desired units on top.

The calculation becomes

when the volume of gas is   changed from   717.73 ml   to 852 ml   the temperature will   change   from 315   c to 452   c

    calculation

this is calculated using the charles law formula

that is,   v1/t1 = v2/t2

          v1=?

        t1 = 315 c   into   kelvin = 315 +273 = 588 k

        v2 = 852   ml

        t2 = 425c + 273 =698 k

make v1   the subject of the formula ( by   multiplying both side by t1)

  v1=( v2 xt1) / t2

v1= (852 ml   x 588 k)/ 698 k= 717.73 ml