Calculate the pressure at this altitude?

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Homework Statement


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.

Homework 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.

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?
 
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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
 
Clueless help said:

Homework Statement


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.

Homework 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.

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?

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.
 
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