Following Problem -

2. The ideal gas law (Emile Clapeyron, 1834) for a gas, assumed to be at low temperature and pressure, is PV = nRT, where P is pressure (in atm), V is volumne (in L), T is temperature (in K), n is the amount of gas (in mol), and R = 0.0820578 is the molar gas constant. Van der Waal's equation ( P + n'a )( V - nb) = nRT covers the non-ideal case, where the stated assumptions do not hold. Use the ideal gas law to compute an initial guess, followed by Newton's Method applied to the Van der Waal equation to find the volume of 1 mol of oxygen at 320 degrees K and a pressure of 15 atm. For oxygen a = 1.36 L'atm/mol and b = 0.003183 L/mol. State your initial condition and solution with six significant digits. Coding tip: Suppose that you have coded a function f (V, P, T, R, n, a, b) which depends on many variables, but wish to use it as a function of just one variable (viewing all others as fixed). This you can do with @(V) f (V, P, T, R, n, a, b)