Question

^{Today the Earth's effective temperature is 255 K and its average surface temperature is 288 K. Some scientists claim that in year 2040 Earth's albedo will decrease from its current value of 0.3 to 0.14 because of the reduction in the glaciers. If everything else remains the same what will be the average surface temperature of the Earth in 2040? The temperature of the Earth in 2040 will be TEarth = K}

Answer 1

Given Earth's effective temperatur (Toe 85 Earth's a average surface so difference between effective cand sunpace temp. - 33K Current op albedo (al = 0.3 T = 288k value value of albede in 2040 (a)= 0.14 Since know that the effective temperature law by Stefan- Boltzmann TS (l-a) To eqi 45 1 let 2040 where a= albedo s = solar flux and = stefan Boltzmann constant effective temperature of earth in is To then - 5s (1-a) 744 To = 40 eq. where al albedo in 2040

deviding the equation@- equation by $(1-2) 4г [ To [sli-az the a To T (1-a) (1-a)

Putting the values- 955 I-0.3 4. To L-0.14 S 255 To [0.81476 U 255 = To (o.gygg To - 255 0.9998 > 와 T - 268.5 It is the effective temperature so value of surface temperature earth in govo Ts' = 268.5 +33 To = 301.5k ~ 302k so temperatus of the earth's surface will be 302K in 2040