1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Ideal Gases dealing with scientific notation

  1. Jan 7, 2014 #1
    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. jcsd
  3. Jan 7, 2014 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    You also need to indicate the units of your answer.

    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.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Ideal Gases dealing with scientific notation
  1. Ke of ideal gases (Replies: 7)

  2. Ideal Gases and Work (Replies: 2)

  3. Scientific notation (Replies: 5)

  4. Ideal Gases (Replies: 4)