Derive the density of an ideal gas as a function of temperature?

[Outrageous]

derive the density of an ideal gas as a function of temperature??

Homework Statement

Derive the density of an ideal gas when it is allowed to expand as a function of temperature when pressure is kept constant/

Homework Equations

The Attempt at a Solution

density= PM/(RT) , where M is the molecular weight
or ∂ρ/∂T =M/(RT)
or ρ(V,P),then keep P constant, ∂ρ/∂V =∂<PM/(RT)>

actually i am not sure what the question asking about . Thank you

 

[Andrew Mason]

Homework Statement

Derive the density of an ideal gas when it is allowed to expand as a function of temperature when pressure is kept constant/

Homework Equations

The Attempt at a Solution

density= PM/(RT) , where M is the molecular weight
or ∂ρ/∂T =M/(RT)
or ρ(V,P),then keep P constant, ∂ρ/∂V =∂<PM/(RT)>

actually i am not sure what the question asking about . Thank you

Relate the mass of the gas to the volume using the ideal gas equation. Use n = m/M where m is the mass of the gas and M is the molecular weight or mass/mole of the gas.

What is n/V? How is n/V related to density of the gas?

AM

 

[Outrageous]

m/V is density of gas system
n /V is density of gas molecule?
I don't know how to relate.

 

[Andrew Mason]

m/V is density of gas system

... and since m = nM... the density of the gas is ... (in terms of M, P, R and T).

AM

 

[Outrageous]

Homework Statement

Derive the density of an ideal gas when it is allowed to expand as a function of temperature when pressure is kept constant/

The Attempt at a Solution

density= PM/(RT) , where M is the molecular weight
or ∂ρ/∂T =M/(RT)
or ρ(V,P),then keep P constant, ∂ρ/∂V =∂<PM/(RT)>

actually i am not sure what the question asking about . Thank you

So the question want density in terms of P M R T? Then why does the question say when it expand?

 

[Andrew Mason]

So the question want density in terms of P M R T? Then why does the question say when it expand?

You should ask the person who drafted the question...it was probably asked this way to just give it some context. What the question is asking is the relationship between T and m/V with constant P. Whether it is expanding or being compressed at constant P makes no difference to the relationship.

AM

 

[Outrageous]

Whether it is expanding or being compressed at constant P makes no difference to the relationship.

AM

Thank you.