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

Use the ideal gas law and Van der Waal's equation to solve for temperature across various pressures and volumes with given constants for moles, a, b, and R.

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)