Please answer all parts and show work C RATES 6 million years ago. The greatest

Question

Please answer all parts and show work C RATES 6 million years ago. The greatest depth of the Grand Canyon is about 1.6 km. (a) What is the me 1. Our current best estimate is that the western Grand Canyon in Arizona began to be excavated by river erosion about an (average) rate that the Grand Canyon has been eroded into the Colorado Plateau during the past our woI n millimeters per y (b) If erosion of the Grand Canyon proceeded at that rate during the most recent century, how much deeper is it today than it was on the day you were born? Show your work. During Earth's very early history, our planet was whacked by meteorites large and small, and eventually grew to its current size. Earth probably went through a period in wh Throughout its history, Earth has been hotter at its center than at its outer surface. ich it was molten from near the surface to its center ust below Earth's ground surface in continental crust, the temperature tends to be a constant (a) In caves j 15°C (-59 F) (That's why people use caves for wine storage.) The deepest mine on Earth is currently the Mponeg ld mine iust southwest of Johannesburg. South Africa, which reaches just over 4 km below the surface. At the thwest of Johannesburg, South Afri ce temperature of the crust at -0 km depth, what is the rate at which temperature changes in Earth between 0 and 4 km-the near-surface geothermal gradien bottom of that mine, the rock tempera ture reaches 66C (-151oF). Using the cave temperature to represent the °C/km

Explanation / Answer

Ans 1)

a) Mean Rate = Depth/ Time

= 1.6 km/ 6 Ma

= 1.6 × 10^6 mm/ 6×10^6 years

= 0.266 mm/ year

b) Increase in depth since birth= 0.266 × age

= 0.266 age (mm)

Ans 2) rate of change = change in temperature/ depth

= (66-(-15))/4

= 20.25 degrees Celsius/ km

Just put your age in 1 b.

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