T Reduced quantities are often used in thermodynamics: reduced temperature T, -, reduced pressure P=- and...

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T Reduced quantities are often used in thermodynamics: reduced temperature T, -, reduced pressure P=- and reduced volume V, - 1 where T, P, and V, are the corresponding P quantities at the critical point. The ideal gas law can be expressed in terms of the reduced quantities as PV,= T. 1. Write a function file HW1_1_YourLastName.m that accepts an array of V, and returns the corresponding arrays of P, for T,=1 and 2. That is, the file calculates P and P that are the arrays for T, =1 and T, -2, respectively. Note that the file requires element-by-element operations (how do we do the operations?). 2. Write a script file HW1_2_YourLastName.m that defines V, (0.5, 1, 1.5,,3) and calculates P, and P, using HW1_1_YourLastName.m. 3. Write a function file HW1_3_YourLastName.m that accepts arrays of P, and V,, and returns T, for every combination of P, and V,. (Hint: when a is a n x 1 column vector and b is a 1 x n row vector, a.b is an n x n matrix whose elements are the products of all the combinations of the elements of a and b.) 4. Write a script file HW1_4_YourLastName.m that defines P, =(1, 2, 3) and V, (0.5, 1, 1.5) and calculates T, for every combination of P, and V, using HW1_3_YourLastName.m. T Reduced quantities are often used in thermodynamics: reduced temperature T, -, reduced pressure P=- and reduced volume V, - 1 where T, P, and V, are the corresponding P quantities at the critical point. The ideal gas law can be expressed in terms of the reduced quantities as PV,= T. 1. Write a function file HW1_1_YourLastName.m that accepts an array of V, and returns the corresponding arrays of P, for T,=1 and 2. That is, the file calculates P and P that are the arrays for T, =1 and T, -2, respectively. Note that the file requires element-by-element operations (how do we do the operations?). 2. Write a script file HW1_2_YourLastName.m that defines V, (0.5, 1, 1.5,,3) and calculates P, and P, using HW1_1_YourLastName.m. 3. Write a function file HW1_3_YourLastName.m that accepts arrays of P, and V,, and returns T, for every combination of P, and V,. (Hint: when a is a n x 1 column vector and b is a 1 x n row vector, a.b is an n x n matrix whose elements are the products of all the combinations of the elements of a and b.) 4. Write a script file HW1_4_YourLastName.m that defines P, =(1, 2, 3) and V, (0.5, 1, 1.5) and calculates T, for every combination of P, and V, using HW1_3_YourLastName.m.