Whether the temperature (T_{p}) on the surface of the planet will be suitable for liquid water to exist mean surface temperature of the star(T_{s}) is

nitraiddQ

nitraiddQ

Answered question

2021-01-22

Whether the temperature (Tp) on the surface of the planet will be suitable for liquid water to exist mean surface temperature of the star(Ts) is 7700C, mean radius of the star r is 1.26 × 106km, the distance between the star and the planet d is 4.3 × 108km and the model formula is
Tp=0.7 (Ts + 273) (rd)12  273

Answer & Explanation

oppturf

oppturf

Skilled2021-01-23Added 94 answers

Consider the provided model formula:
Tp=0.7 (Ts + 273) (rd)12  273
Substitute all the given values,
Tp=0.7(7700 + 273) (1.26 × 1064.3 × 108)12  273
=0.7 (7973)(1.264.3 × 106188)12  273
0.7 (7973)(0.293 × 106108)12  273
Divide the same bases, substract exponents,
Tp=0.7(7973) (0.293 × 106  8)12  273
Tp=0.7(7973) (0.293 × 102)12  273
Apply an=1an
Tp=0.7(7973) (0.293 × 1102)12  273
Tp=0.7(7973) (0.293102)12  273
The denominator of the rational exponent is the root or the index,
Tp=0.7 × 7973 × 0.293102  273
Apply the quatient rule,
Tp=0.7 × 7973 × 0.293102  273
Tp=0.7 × 7973 × 0.541210  273
Tp=5581.1 × 0.05412  273
Tp=302.1  273
Thus,
Tp=29.1C
Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-27Added 2605 answers

Answer is given below (on video)

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