Math Problem Statement
% Problem 2.19 format shortg % The ideal gas law is % PV = nRT % and the Van der Waal modification of the ideal gas law is % (P + n^2a/V^2)(V-nb) = nR*T % Note: these are the general form of the equations. % Modify the variables as needed for your solutions below.
% Define constants % Assume that % Moles, n is 2 mol % Define the value of n here % a is 5.536 % Define the value of a here % b is 0.03049 L/mol % Define the value of b here % Ideal constant, R is 0.08314472 L bar/K mol % Define the value of R here
% a) Use the ideal gas law to find the temperature
% for ten values of pressure, P from 0 to 400 bar
% Define Pa here - use linspace
% when the volume, V, is kept constant at 1 L.
% Define Va here
% The answer should be a variable array named Ta.
% Calculate Ta here - Be careful to use array operators
% b) Use Van der Waal's equation to find the temperature % for ten values of pressure, P from 0 to 400 bar % Define Pb here - use linspace % when the volume, V, is kept constant at 1 L. % Define Vb here % The answer should be a variable array named Tb. % Calculate Tb here
% c. Use the ideal gas law to find the temperature
% for ten values of volume, V, from 0.1 L to 10 L
% Define Vc here - use linspace
% for a constant pressure P of 220 bar.
% Define Pc here
% The answer should be a variable named Tc.
% Calculate Tc here
% d. Use Van der Waal's equation to find the temperature % for ten values of volume, V, from 0.1 L to 10 L % Define Vd here - use linspace % for a constant pressure P of 220 bar. % Define Pd here % The answer should be a variable named Td. % Calculate Td here
Solution
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Math Problem Analysis
Mathematical Concepts
Thermodynamics
Gas Laws
Ideal Gas Law
Van der Waal's Equation
Formulas
Ideal Gas Law: PV = nRT
Van der Waal's Equation: (P + (n^2 * a / V^2)) * (V - nb) = nRT
Theorems
Van der Waal's theorem
Suitable Grade Level
Undergraduate Level (Physics or Chemistry)
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