Calculate the pressure at this altitude?

1. Nov 8, 2012

Clueless help

1. The problem statement, all variables and given/known data
Calculate the pressure at this altitude. Assume a US standard atmosphere.
an air parcel rises from sea level, where the pressure is 1.01 × 10^5Pa, to an altitude of 2.0 km.
A.calculate the pressure at this altitude. Assume a US standard atmosphere,
take the air to be dry and take the molecular weight of air as 29.0 × 10^-3 kg/mol.

2. Relevant equations

A.calculate the pressure at this altitude. Assume a US standard atmosphere,
take the air to be dry and take the molecular weight of air as 29.0 × 10^-3 kg/mol.

B.calculate the temperature of the air parcel at this altitude. Take the
values of the heat capacities from above.

3. The attempt at a solution
Dont even know how to start should the equation be along the lines of; p(2000)=(1-lapse rate z/288)9.8x10^-3/R*lapse rate?

Last edited by a moderator: Nov 8, 2012
2. Nov 8, 2012

Clueless help

Sorry if this is a mess guys its my first post any help would be greatly appreciated, doing atmospheric psychs for the the first time in college and having a hard time. Thanks

3. Nov 8, 2012

Staff: Mentor

Write an equation for the temprature T at altitude z, given that the temperature at the surface is 288, and the lapse rate is L.

What is the equation for dp/dz in terms of air density and g?

What is the equation for air density at temperature T and pressure p?

Combine all this into a single differential equation for dp/dz in terms of p and z.

Last edited by a moderator: Nov 8, 2012