(a) Explanation Given: The ideal gas equation is, P V = k T where, P is pressure, V is volume, T is temperature and k > 0 is constant. Theorem used: “Let F be differentiable on its domain and suppose that F ( x , y ) = 0 defines y as a differentiable function of x . Provided F y ≠ 0 , d y d x = − ∂ F ∂ x ∂ F ∂ y = − F x F y ”. Calculation: The given function is P V = k T . Let P be the function of V and T . Take partial derivative on P V = k T with respect to V . P V = k T ∂ P ∂ V ⋅ ( V ) + P ⋅ ∂ V ∂ V = 0 ∂ P ∂ V ⋅ ( V ) + P ⋅ 1 = 0 ∂ P ∂ V = − P V Thus, the value of ∂ P ∂ V is − P V (b) To determine To show: The equation ∂ P ∂ V ⋅ ∂ T ∂ P ⋅ ∂ V ∂ T = − 1 .

2nd Edition

ISBN: 9781323178522

Author: Briggs

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 12.5, Problem 61E

(a)

To determine

To compute: The values ∂P∂V,∂T∂P and ∂V∂T .

(b)

To determine

To show: The equation ∂P∂V⋅∂T∂P ⋅∂V∂T=−1 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.5, Problem 60E

Chapter 12.5, Problem 62E

Students have asked these similar questions

A circle in the XY-coordinate system is specified by the center coordinates (x, y) and radius (r). Read the values for 2 circles- x1, y1, r1 for C1 and x2, y2, r2 for C2. (i) Determine whether the 2 circles intersect. To solve the problem it suffices to check if the distance between the 2 centers is lesser than the sum of radii of the 2 circles. (ii) Find the smallest circle that encloses the two circles and return its center coordinates and radius. programming language - c

Q4: Write the parametric equation of revolution surface in matrix form only which generated by rotate a Bezier curve defined by the coefficient parameter in one plane only, for the x-axis [0,5, 10,4], y-axis [1,4,2,2] respectively, for u-0.5 and 0 = 45° Note: [the rotation about y-axis].

Suppose that a parachutist with linear drag (m=50 kg, c=12.5kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground. a) Write a system of four differential equations for x,y,vx=dx/dt and vy=dy/dt. b) If theinitial horizontal position is defined as x=0, use Euler’s methods with t=0.4 s to compute the jumper’s position over the first 40 s. c) Develop plots of y versus t and y versus x. Use the plot to graphically estimate when and where the jumper would hit the ground if the chute failed to open.

Chapter 12 Solutions

CODE/CALC ET 3-HOLE

Ch. 12.1 - Give two pieces of information which, taken...Ch. 12.1 - Find a vector normal to the plane 2x 3y + 4z =...Ch. 12.1 - Where does the plane 2x 3y + 4z = 12 intersect...Ch. 12.1 - Give an equation of the plane with a normal vector...Ch. 12.1 - To which coordinate axes are the following...Ch. 12.1 - Describe the graph of x = z2 in 3.Ch. 12.1 - What is a trace of a surface?Ch. 12.1 - What is the name of the surface defined by the...Ch. 12.1 - What is the name of the surface defined by the...Ch. 12.1 - What is the name of the surface defined by the...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

The values ∂ P ∂ V , ∂ T ∂ P and ∂ V ∂ T .

Solution Summary: The author explains that the ideal gas equation is PV=kT.

Videos

To compute: The values ∂P∂V,∂T∂P and ∂V∂T .

To show: The equation ∂P∂V⋅∂T∂P ⋅∂V∂T=−1 .

Want to see the full answer?

Chapter 12 Solutions