Can get the solution for these engineering physics problems? The subject is thermodynamics.

Recommended Text: Finn's Thermal Physics, third edition (CRC Press, 2017)

7_1&course_id=_53795_1 1 2 80% + Help ? Problem 1: Short Answers (a) Let f(x, y) = 1 + y. What is ar ly of ? What is of ? (b) Let g(r, y) = ry". What are the partial derivatives |and at (c) Using your answers for part (b), find a og Og dy ar and (1) dy (d) The energy of a mass on a spring is a function of its position and its momentum; E(I, P) = (2) 2m Evaluate the partial derivatives " and 28 (e) The surface area of a cube of side length / is 6/2. What is the change in surface area dS if the side length changes by dl'? Problem 2: Partial Derivatives and the Chain Rule Consider the function f(x, t) = A sin(wt - kx) . (3) in which w is a constant with units of 1 over time and & is a constant with units of 1 over distance. A is a constant whose units determine the units of f. (a) What is the partial derivative of ? (b) What is the partial derivative of ? (c) Evaluate the second partial derivatives o of (4) and 02 f = (5 (d) What is the relation between the two second derivatives that you found in part (c)?1&course_id=_53795_1 2 75% + Help ? Problem 3: Maxwell Relation for Not-Necessarily-Ideal Gases In class, we started with the first law in the form du - TdS - Pdv (6 which applies for reversible infinitesimal transformations, and we deduced that OU OS (7) av. P IT In two different ways, we deduced the Maxwell relation S OP (8) av. Combining these, we found that OU =T Op P (9) av T aT lv For an ideal gas, NKBT (10) and so OP P NKBT aT (11) lv This makes sense, because the energy U of an ideal gas is a function of T, not V. (a) In a hard-sphere or hard-core gas, the atoms have a nonzero size, so they can bump into each other, but they don't interact in any other way, either attracting or repelling. This means the ideal gas law is modified, because each atom has less "room to play"; not the whole volume V, but V diminished by an amount that depends on how many other atoms there are. The new gas law is P (V - Nb) = NKBT. (12) where b is some positive constant. What is S QU for this gas? (b) In a van der Waals gas, the atoms bump into each other, but they can attract each other too. So, there is the "excluded volume" effect from part (a) along with an additional modification: ( P + a ( # ) ) ( V - NB ) = NKBI . (13) The numbers a and b are constants that depend upon which specific gas one is studying. What is ov - for a van der Waals gas