Question

A contianer with 0.485 L of water is placed into a microwave and is then radiated with electromagnetic energy that has a wavelength of 10.5 cm. The temperature of the water then rose by 67.7 degrees Celcius. Calculate the number of photons that were absorbed by the water. Assume water has a density of 1.00 g/mL and its specific heat is 4.184 J/g degree C

1.) What formula is used for calculating the energy absorbed by the water?

2.) Calculate the energy absorbed by the water in the microwave.

3.) What formula is used for calculating the energy of a single photon?

4.) Calculate the energy of a single photon with a wavelength of 10.5 cm. Is this a large or small number?

5.) How does the energy absorbed by the water compare to the energy of the photon?

Answer #1

A container with 0.389 L of water is placed in a microwave and
is then radiated with electromagnetic energy that has a wavelength
of 11.3 cm. The temperature of the water then rose by 67.7C.
Calculate the number of photons that were absorbed by the water.
Assume water has a density of 1.00 g*mL^-1 and its specific heat is
4.184 J*g^-1*C^-1

A container with 0.125 L of water is placed into a microwave and
radiated with electromagnetic Energy that has a wavelength of 10.1
cm. The temperature of water then rose to 65.5 degrees Celsius.
Calculate the number of photons absorbed by water. Assume water has
a density of 1.0 and the specific heat is 4.184.

A particular microwave oven delivers 750 watts (exact value). (A
watt is a unit of power, which is the joules of energy delivered,
or used, per second.) If the oven uses microwave radiation with a
wavelength of 12.6 cm, how many photons of this radiation are
required to heat 1.00 g of water by 1.00 °C, assuming that all of
the photons are absorbed? The specific heat of water is 4.184 J /
g•°C at 25°C.

Suppose that a certain microwave oven has radiation having a
wavelength of 11.2 cm.
(i) What is the frequency, in s-1, of this
radiation?
(ii)What is the wavenumber, in cm-1, of this
radiation?
(iii)What is the energy, in J, of a single photon of this
radiation?
(iv) How many photons of this light would be required to heat
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