Microwave ovens use microwave radiation to heat food. The energy of the microwaves is absorbed by water molecules in the food and then transferred to the rest of the food. a. Suppose the microwave radiation has a wavelength of 11.2 cm. How many photons are required to heat 2.00  102 mL of coffee from 23 to 60 oC? b. If the power of the microwave is 9.00  102 W (1 Watt = 1 Joule/second), how long would you have to heat the coffee?

Question
Asked Nov 13, 2019
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Microwave ovens use microwave radiation to heat food. The energy of the microwaves is absorbed by water molecules in the food and then transferred to the rest of the food. a. Suppose the microwave radiation has a wavelength of 11.2 cm. How many photons are required to heat 2.00  102 mL of coffee from 23 to 60 oC? b. If the power of the microwave is 9.00  102 W (1 Watt = 1 Joule/second), how long would you have to heat the coffee?

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Expert Answer

Step 1

Calculation of mass of coffee:

Mass density x volume
Mass (1.0g/cm102ml
Mass=102g
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Mass density x volume Mass (1.0g/cm102ml Mass=102g

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Step 2

Calculation of Quantity of heat:

Q=mcAT
102x4.18 J/g°Cx37
1.5775x10 J
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Q=mcAT 102x4.18 J/g°Cx37 1.5775x10 J

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Step 3

Calculation of energy ...

hc
E
x 3x 10
6.626x 103
E
0.112
E 1.77 x10
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hc E x 3x 10 6.626x 103 E 0.112 E 1.77 x10

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