Suppose that the microwave radiation has a wavelength of 12.4 cm. How many photons are required to heat 285 mL of coffee from 25.0 ∘C∘C to 62.0 ∘C∘C? Assume that the coffee has the same density, 0.997 g mL−1, and specific heat capacity, 4.184 J g−1 K−1, as water over this temperature range. Express the number of photons numerically.

A microwave oven generates photons at a frequency of 900 GHz. Assuming all the photonenergy is absorbed by water, how many photons would it take to heat 125 g of water from 25˚C to 100˚C?

Your calibrated soup container has served you pretty well over the last several weeks, so you have decided to use it to heat up your soup for lunch using the microwave oven located just outside your lab. The oven warms food by delivering electromagnetic radiation with a frequency of 2.45 GHz at a rate of 7.39 x 10^26 photons per second. Your soup has a mass of 524 grams and your calibrated container has a heat capacity of 69.9 J °C-1. If the initial temperature of your soup is 25 °C, what will be its temperature if you allow it to heat in the microwave for 1.5 minutes? [Assume that the specific heat capacity of your soup is 4.18 J g-1 °C-1.]

Electromagnetic radiation with a wavelength of 575 nm appears as yellow light to the human eye. If a laser emits 3.8 x 1016 photons of this energy in a pulse, what is the energy of the pulse in mJ?

The frequency of a Microwave wave emitted from an unknown source is measured and found to be 7.1 x 1010 Hz. What is the energy in Joules of one quanta of this radiation ? 1 Hz = 1 s-1 Enter your answer here: J

W 4. (a) A laser emits light that has a frequency of 4.69 X 10¹4 s¹. What is the energy of one photon of this radiation? V (b) If the laser emits a pulse containing 5.0 X 1017 photons of this radiation, what is the total energy of that pulse? (c) If the laser emits 1.3 X 10-2 J of energy during a pulse, how many photons are emitted?

The net change during photosynthesis involves CO2 and H2O forming glucose (C6H12O6) and O2. Chlorophyll absorbs light in the 600–700 nm region. (a) Write a balanced thermochemical equation for formation of 1.00 mol of glucose. (b) What is the minimum number of photons with λ = 680. nm needed to form 1.00 mol of glucose?

the microwaves in an oven are of a specific frequency that will heat the water molecules contained in food.  (this is why most plastics and glass do not become hot in microwaves; they do not contain water molecules.)  This frequency is about 3 X 109 Hz.  What is the energy of one phonon in these microwaves?  Show calculations

46) Calculatethe energy of the red light emitted by a neon atom with a wavelength of 703.2 nm. 46) A) 6.45 10-19 1 B) 4.27 10-19 J 234 x 10-19 D) 2.83 × 10-19 E) 3.54 x 10-19 47) Which of the following signs on q and w represent a system that is doing work on the surroundings, as well as losing heat to the surroundings? A) q = -, w = + B) q= +, w = - C) q = +, w=+ D) q=-, w=- E) None of these represent the system referenced above. 47) 48) Which of the following quantum numbers describes the size and energy of an orbital? 48)

A 545 g portion of soup is heated in a microwave oven from 25.0 °C to 90.0 °C, using radiation with a wavelength of 1.55 × 10⁻² m. Assuming the specific heat capacity of the soup is the same as water (4.184 J/ °C･g), how many photons are absorbed by the soup? use sig fig