On a spring day, a middle-latitude city (about 40∘ north latitude) has a surface (sea-level) temperature of 10 ∘c. if vertical soundings reveal a nearly constant environmental lapse rate of 6.5 ∘c per kilometer and a temperature at the tropopause of –55 ∘c, what is the height of the tropopause?

10 km

Explanation:

We are told that the temperature at the surface is

and that the rate of drop of the temperature vs height is

Therefore we can write the temperature at a generic altitude h as

If we call h the height of the tropopause, we have

Therefore we can solve the equation to find h, the height of the tropopause:

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.