# Ideal Gases dealing with scientific notation

1. Jan 7, 2014

### Janice

I am not sure how to properly use the scientific notation in this problem. I have attempted to solve it several different ways to no avail.

A house has a volume of 1.45 x 10(4)m(3). At 20.0° C and 740 mm Hg, the air fills the house. If the temperature and pressure increase to 35.0°C and 780 mm Hg, how much air must be drawn into the house to accommodate the change in volume of the air?

P1 x V(1)/T(1) = P(2) x V(2)/T(2))

V(2)= P(1) x V(1) x T(2)/ T(1) x P(2)

V(2) =740mm Hg x (1.45 x 10(4)m(3) x 308°K/ 293°K x 780mm Hg

V(2) = 330,484/228,540 = 1.44606 = 1.45

2. Jan 7, 2014

### SteamKing

Staff Emeritus

Scientific notation is relatively simple to master: 1.45 * 10^4 m^3 = 1.45 * 10000 m^3 = 14500 m^3

Manipulating numbers expressed in scientific notation is the same as manipulating any number which is expressed as a product.

BTW: you have omitted the factor of 10^4 from your calculation of the volume of air drawn into the house.

If you plan on taking a lot of science courses, you must master scientific notation in order to perform calculations. Calculators have special keys to simplify entering numbers in scientific notation. Learn how to use them.

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