chemistry

posted by .

Enormous numbers of microwave photons are needed to warm macroscopic samples of matter. A portion of soup containing 177 g of water is heated in a microwave oven from 20degrees Celsius to 98 degrees Celsius, with readiation of wavelength 1.55x10^-2m. How many photons are absorbed by the water in the soup?

  • chemistry -

    Calculate q for the heat required to heat the soup.
    q = mass x specific heat H2O x delta T.
    q = ?? in Joules.
    Then use E = hc/wavelength to determine the energy per photon. Go from there. Post your work if you get stuck. Check my thinking.

  • chemistry -

    ok. whew. just put in my answer into webassign and i got it correct.

    Ill show the example with the numbers I was given. That way you can actually do the problem with your numbers.

    I found the way to do this at the link below.

    so my water mass was 360 g
    my temp went from 28C to 93C
    the radiation of wavelength is 1.55 x 10-2 m (same)

    k so the first thing to do is find the work needed.
    Q=mcΔT
    this is mass times (4.184J/g°C) ΔT. so (360)(4.184)(93-28) = 97905.6 J. The 4.184 changes things to Angstroms. The overall equation will have the units Joules.

    k so we also have the equations
    E'=hv and c=λv
    h = 6.626 x 10^-34
    c = 3 x 10^8
    solve and replace so that somehow you get this
    Q (97905.6 J) / (hc/1.55 x 10^-2)

    so 97905.6/((6.626e-34)(3e8)/(1.55e-2))
    I got 7.6e27
    webassign verified it.

  • your mom -

    its so easy

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. CHEMISTRY

    I don't even understand how this question works. How do I solve it?
  2. Chemistry

    A cup of chicken soup (500.0 g) is heated from 20ºC to 98ºC in a microwave oven that operates at wavelength = 1.55 x 10–2 m. How many moles of photons are absorbed by the soup?
  3. Chemistry

    Enormous numbers of microwave photons are needed to warm macroscopic samples of matter. A portion of soup containing 225 g water is heated in a microwave oven from 23°C to 91°C, with radiation of wavelength 1.55 10-2 m. How many …
  4. AP Chemistry

    Microwave ovens emit microwave radiation that is absorbed by water as heat. Suppose that the wavelength of the radiation that is 12.5 cm in an oven that has a power rating of 900 watts. (1W = 1 J/s) a) How many moles of photons are …
  5. Chemistry

    A particular microwave oven delivers 800 watts. (A watt is a unit of power, which is the joules of energy delivered, or used, per second.) If the oven uses microwave radiation of wavelength 12.2 cm, how many photons of this radiation …
  6. Chemistry

    A certain microwave oven delivers 633 watts (J/s) of power to a coffee cup containing 53.1 g of water at 25°C. If the wavelength of microwaves in the oven is 9.75 cm, how long does it take, and how many photons must be absorbed, to …
  7. chemistry

    A microwave oven heats by radiating food with microwave radiation which is absorbed by the food and converted to heat. Suppose an oven's radiation wavelength is 12.5 cm. A container with 0.250 liter of water was placed in the oven …
  8. chemistry

    A microwave oven heats by radiating food with microwave radiation which is absorbed by the food and converted to heat. Suppose an oven's radiation wavelength is 12.5 cm. A container with 0.250 liter of water was placed in the oven …
  9. Chemistry

    microwave ovens work by irradiating food with microwaves, which is absorbed by the water molecules in the food and is converted into heat. Assuming that microwave ovens emit radiation with a wavelength of 12.2cm, calculate how many …
  10. chemistry

    A microwave oven heats by radiating food with microwave radiation, which is absorbed by the food and converted to heat. Suppose an oven's radiation wavelength is 12.5 cm. A container with 200 mL of water was placed in the oven and …

More Similar Questions