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Computation with Boltzman constant

Cesar Cardenas Ruiz
Posted 1 year ago

Hi, I'm trying to run some calculations which includes the Boltzman constant but I'm getting some errors. I'm also attempting with the Quantity["BoltzmannConstant"] but not sure how to use it within the these simple equations. Any help will be greatly appreciated.


Thanks

Attachments:
Untitled-3.nb
POSTED BY: Cesar Cardenas Ruiz
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Sorry, I forgot something else, these variables would be well defined ?: Thanks

La = Quantity[3 x 10^10, 1/"Centimeters"^2 * "Seconds"];
\[Sigma] = Quantity[2.02 x 10^-18, 1/"Centimeters"^2]^ ;
nNO = Quantity[1 x 10^8, 1/"Centimeters"^3];
deltaz = Quantity[900, "Kilometers"];
H = Quantity[10, "Kilometers"];
k = Quantity[3.5 x 10^-7, 1/"Centimeters"^3];
ne = Quantity[ 5.23 x 10^5, 1/"Centimeters"^3];
ni = Quantity [5.09 x 10^5, 1/"Centimeters"^3];
POSTED BY: Cesar Cardenas Ruiz

σ looks wrong, there is an extra ^ at the end. Also x does not represent multiplication, use *. I am not sure what you are calculating so I cannot say if it is right or wrong. Check the dimensions of Hp is that what you expect? For g you can use

g = Quantity[1, "StandardAccelerationOfGravity"]
POSTED BY: Rohit Namjoshi

Thanks so much. It is totally clear. Another quick question. Could you tell me if this approach could be right for this calculation: Any help will be appreciated. Thanks

Ti = Quantity[1200, "Kelvins"];
 Te = Quantity[3500, "Kelvins"];
kb = Quantity[1, "BoltzmannConstant"];
me = Quantity[1,  "ElectronMass"];
g = Quantity[9.8, "Meter"/"Seconds"^2];
mi = Quantity[2.656`*^-26, "Kilograms"]
Hp = kb* (Ti + Te)/mi * g 

2.3943*10^7
POSTED BY: Cesar Cardenas Ruiz

You have to use Quantity to specify units. m^2 is not meters squared, it is the symbol m squared, and m is used on the left hand of Set. This is the equivalent to evaluating zz = zz + 1 which will result in recursion. Try

P = Quantity[0.18, "Pascals"];
\[Rho] = Quantity[88.7 , 1/"Centimeters"^3];
T = Quantity[190, "Kelvins"];
kb = Quantity[1, "BoltzmannConstant"];

m = kb*\[Rho]/P*T
(* 1.292670978*10^-12 *)
POSTED BY: Rohit Namjoshi
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