Adiabatic Wind Descending Homework Problem

[DK007]

Hi everybody, this is my first post on your forum and i hope someone can help me :)

the problem is i can figure out how to approuch this problem :s i do know that the process of the air descending is adiabatic but still i can't get it :(

thanks for your help guys in advance.

Homework Statement

Suppose a strong wind is blowing toward Denver (elevation 1630 m) from Grays Peak (80 km) west of Denver, at an elevation of 4350 m), where the air pressure is 5.65×104 Pa and the air temperature is -16.0°C . The temperature and pressure in Denver before the wind arrives are 2.0 °C and 8.12×10^4 Pa. By how many Celsius degrees will the temperature in Denver rise when the chinook arrives?

 

[ideasrule]

Yes, the descent of the air is adiabatic. There's an equation that describes what happens in an adiabatic process; it's PV^gamma=constant. Do you know how to transform this into a pressure-temperature relationship?

 

[DK007]

Hi ! thanks for your reply, as PV^gamma=constant i think we can say that p_1*v_1^gamma=p_2*v_2^gamma, but how to involve pressure in it ?

thanks :)