Question

Be sure to answer all parts. Enormous numbers of microwave photons are needed to warm macroscopic samples of matter. A portion of soup containing 149 g of water is heated in a microwave oven from 20.0°C to 98.0°C, with radiation of wavelength 1.55 x 10-2 m. How many photons are absorbed by the water in the soup? x 10l (select) photons (Enter your answer in scientific notation.)

Answer 1

mass of water = 149 g OT = final templ - initial temperature = 90.0°C -20°C = 78°C wale length of radiation t = 155x10 m no. of photon to raise temperature of 199g water from 2000 to 98% = n = ? 1.55 Energy of one photon = E= he h = Plank's constant = 6:62 6x 102495 = 6.626 X 15 3 4 4 3 X 108 mst e = spead of light 1.558 152 m = 3x 108 mis. a = wave length at 19.078 X 10242 - m² kg 5 ² 12.825x124 radiation m² kq52 = 1.55 x 10-2m = 12,825x16 245 from specific heat capacity formula cp = Q Q = heat required to MDT I raise temperature by. Q= cpm AT lepo specific heat capacity 1 gee 4.104 J = 48626.5 J goc Total heat required No. of photon = - Energy of & Photon 48626.5J - 4.184J X 1498 X 780 € 12.825X10-24 = 379115*1024 = 3,79 x 1027 photone

mass of water = 149 g OT = final templ - initial temperature = 90.0°C -20°C = 78°C wale length of radiation t = 155x10 m no. of photon to raise temperature of 199g water from 2000 to 98% = n = ? 1.55 Energy of one photon = E= he h = Plank's constant = 6:62 6x 102495 = 6.626 X 15 3 4 4 3 X 108 mst e = spead of light 1.558 152 m = 3x 108 mis. a = wave length at 19.078 X 10242 - m² kg 5 ² 12.825x124 radiation m² kq52 = 1.55 x 10-2m = 12,825x16 245 from specific heat capacity formula cp = Q Q = heat required to MDT I raise temperature by. Q= cpm AT lepo specific heat capacity 1 gee 4.104 J = 48626.5 J goc Total heat required No. of photon = - Energy of & Photon 48626.5J - 4.184J X 1498 X 780 € 12.825X10-24 = 379115*1024 = 3,79 x 1027 photone