(a) Express (∂Cp/∂P)T as a second derivative of H and find its relation to (∂H/∂P)T. (b) From the relationships found in (a), show that (∂Cp/∂V)T=0 for a perfect gas.
(a) Express (∂Cp/∂P)T as a second derivative of H and find its relation to (∂H/∂P)T. (b)...
4. The enthalpy H may be written as a function of temperature T and pressure P. If we have a system whose composition remains constant and using Maxwell's equations and the total differential, we can write dH as avdP where Cp is the heat capacity at constant pressure and the subscript of P on the partial derivative represents the partial of volume with respect to temperature holding pressure connstant. Find the change in enthalpy (A) for an ideal gas undergoing...
(E) when T→ 0. 14. Express the heat capacity at constant pressure, Cp,and that at onstant volume. Gr he , Cy, for the case of ideal gas by using enthalpy H, temperature T and the gas constantR of hnumal idoal:oas expansion into vacuum. How about the case
Extra Credit #5. that 45 = Cp In T2 - R ln P Show for an ideal gas That is changing temp, and pressure. Hints. Start with d H= Tas trap 1. Rearrange this so ds is alone on left side a. Recall that dH Cp dT . For ideal gas Cp is independent of T. 3. Use ideal gas law to eliminate v 4. Integrate. Write neatly and show every step.
My code for calculating the first derivative is the second image Compute second derivative O solutions submitted (max: 10) You are provided with a set of data for the position of an object over time. The data is sampled at evenly spaced time intervals. Your task is to find a second order accurate approximation for the acceleration at each point in time. Write a Matlab function that takes in a vector of positions x, the time interval between each sampled...
Write a C program that numerically calculates the second derivative of the function f(t) = sin(H) + 0.3A where the input&ranges [0:0.1:5). Find the second derivative at each point not including the first and last points. Also calculate the analytical solution at each point. Print to the screen the numerical and analytical results for comparison
Consider the triangular voltage waveform v(t) shown in Figure. (a) Express v(t) mathematically (b) Use the real-shifting property to find E(v() (c) Sketch the first derivative of v(t). (d) Find the Laplace transform of the first derivative of v(t). (e) Use the results of Part (d) and the integral property to verify the results of Parts (b) and (d). (f) Use the derivative property and the result of Part (b) to verify the results of Parts (b) and (d) 0...
find the derivative (t+1)2 b) h(t) = 7735 (3 + 5t)5
Please show all work 2. (Extra credit). If f (t) = csc t, find second derivative f” (T1/6)
Provide an appropriate response. Find the second derivative of the the function y-sin-12x och 1 - 4x2 2(1 - 4x2,32 (1 - 4x2,312 "-4392 Find any 5**v = yn In 5 In y 5x + y -5x + y + in 5-1 5x + y 5x + V + In 5 vin 5 - 1 vin 5-1 Find the derivative of y with respect to x, t, or, as appropriate.y = 4+2ee dee Use l'Hopital's Rule to evaluate the limit....
Τμ. = Σον δ(x – x (1)) = Σ c2P,"P δ(x – x(t)) = Τυμ, (7.19) E. η 1 Question 7.1* (i) The energy-momentum tensor of a perfect fluid, with 4-velocity field UM, is given in an arbitrary frame by (7.24), i.e., TW = (€ + P)U"U"/c - Pg. Contract this expression with gu to evaluate T := T" (ii) Show that in a local inertial frame, in which the fluid is at rest, the above energy momentum tensor simplifies...