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a. The flow of energy from Earth's interior to the surface is about 50 terawatt (1 terawatt = 1e12 joule/sec). This is the energy that gives Earth an active surface geology (hot springs, volcanoes, plate tectonics, etc). Roughly half of this geothermal is from the energy produced by radioactive decay, and roughly half is from the energy left from the formation of the hot Earth.

Estimate how much geothermal energy reaches Earth’s surface in one day (in Joule).
b. Estimate humanity’s current consumption of energy in one day (in Joule).
c.Assuming 100% efficiency of extracting geothermal energy, estimate the ratio of geothermal energy to human's current annual world consumption of energy.

Respuesta :

A) The amount of geothermal energy that reaches Earth's surface in one day is : 43.2 * 10¹⁷ joules

B) Humanity's current consumption of energy is; 71.4 GJ per individual.

C) Ratiois ; 60.5 * 10⁶ Joules

Given data :

Amount of energy flow = 50 terawatt =  50*10¹² joule/sec.

Determine the geothermal energy that reaches the earth

Since the geothermal energy reaches the earth in a single day

Energy = power * time

Time = 24 hours ( 1 day ) = 86400 secs.

Energy = 50*10¹² joule/sec * 86400 secs

            = 43.2 * 10¹⁷ joules

B) Estimating humanity's current consumption of energy in one day.

Humanity's current consumption of energy in one day is estimated to be 71.4 GJ per individual.

C) Determine the ratio of geothermal energy to human's current annual consumption

Geothermal energy / human current annual consumption

= 43.2 * 10¹⁷ Joules / 71.4 * 10⁹ Jolues

= 60.5 * 10⁶ Joules

Hence we can conclude that A) The amount of geothermal energy that reaches Earth's surface in one day is : 43.2 * 10¹⁷ joules

B) Humanity's current consumption of energy is; 71.4 GJ per individual.

C) Ratiois ; 60.5 * 10⁶ Joules

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