Thermal Physics question

m0dm0

m0dm0

m0dm0

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Joined
16 Mar 2003
Posts
190
Hi,

The adiabatic law for an ideal gas is PV^gamma = constant.

Now the question is, How do I get this law in terms of T and P. I know I need to make use of PV=nRT and somehow substitute that in, remembering that n and R are constants as well.

In a seperate part of the question which I have already completed I have got the adiabatic law in terms of T and V. I did this by:

PV^gamma = constant

PVV^(gamma-1) = constant

as PV = nRT

nRTV^(gamma-1) = constant

as nR as constants then

TV^(gamma-1) = constant.

Please Help....!
 
m0dm0 said:
Hi,

The adiabatic law for an ideal gas is PV^gamma = constant.

Now the question is, How do I get this law in terms of T and P. I know I need to make use of PV=nRT and somehow substitute that in, remembering that n and R are constants as well.

In a seperate part of the question which I have already completed I have got the adiabatic law in terms of T and V. I did this by:

PV^gamma = constant

PVV^(gamma-1) = constant

as PV = nRT

nRTV^(gamma-1) = constant

as nR as constants then

TV^(gamma-1) = constant.

Please Help....!
Click to expand...
i can't help, but what is this for? Work? A2? Degree?
 
Sounds like it is part of a degree... I did thermal physics last year but I don't remember too much unfortunately.

However, to ask for an equation describing an adiabatic process in terms of P and T seems unusual.
 
Surely just rearrange ideal gas in terms of V and substitue in?

V = nRT/P

P (nRT/P) ^ gamma = c

which you could rearrange

( P / P^gamma ) * (nRT)^gamma = c

P^(-gamma+1)*(nRT)^gamma = c

In terms of P and T now. Yes?
 
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