<u>Answer:</u> The number of photons are
<u>Explanation:</u>
We are given:
Wavelength of microwave = (Conversion factor:
)
- To calculate the energy of one photon, we use Planck's equation, which is:
where,
h = Planck's constant =
c = speed of light =
= wavelength = 0.122 m
Putting values in above equation, we get:
Now, calculating the energy of the photon with 88.3 % efficiency, we get:
- To calculate the mass of water, we use the equation:
Density of water = 1 g/mL
Volume of water = 165 mL
Putting values in above equation, we get:
- To calculate the amount of energy of photons to raise the temperature from 23°C to 100°C, we use the equation:
where,
m = mass of water = 165 g
c = specific heat capacity of water = 4.184 J/g.°C
= change in temperature =
Putting values in above equation, we get:
This energy is the amount of energy for 'n' number of photons.
- To calculate the number of photons, we divide the total energy by energy of one photon, we get:
q = 53127.72 J
E =
Putting values in above equation, we get:
Hence, the number of photons are