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)