The isothermal bulk modulus (B) is defined as the reciprocal compressibility ( K potential by ofthe...
Extra credit problem (5 pt) The isothermal bulk modulus (Br) is defined as the reciprocal of the isothermal compressibility (KIn p/aP)r). Show that the modulus is related to the chemical potential by where p is the number density
5. For liquid water, the isothermal compressibility is given by: V(P +b) Where c and b are functions of temperature only. If 1 kg of water is compressed isothermally and reversibly from 1 to 500 bar at 60'C, how much work is required? At 60°C, b 2700 bar and c0.125 cm3/g. (NOTE: density of water 1 g/cm3, ln(yl) pTrT)-K(PrP,). Answer the question in the steps indicated.) 120 points] What is the initial volume of water? [5 points] a. What is...
Problem 1 CH7/5pts Warm up. Show that: 1. PK 1- P ()where is the isothermal compressibility 2. PB 1+T (n)pwhere B is the thermal expansion. р' 3. Show that Te, Pe and Vm.e in a system described by a van der Waals equation of state depend only on a and b parameters.
Please show all steps and explain your reasoning in detail for parts e, f, & g. Ignore a - d. Thank you. Consider a "2D electron gas". Ne electrons of mass m * confined to a square ofarea A = L2 with zero potential. Take the lowest level to be energy zero. a. What is the total number of states N with energy less than E including spin degeneracy? b. Deduce the energy density of states, defined by D(E) c....
I need help with exercise #2. Your help will be really appreciated and rated. MAXWELL'S EQUATION I. Maxwell's Equation: Our first (of mony) distribution functions. Very important A. The "Maxwell-Boltzman speed distribution" gives the speed distribution, fiv), of particles confined to NN()d, which a volume, V, and in thermal equilibrium at a temperature, T. () is the number of particles moving within dv of a speed, v Distributions of this type can be considered as the product of three terms...
problem 40 with parts 40. The atmospheric pressure (force per unit area) on a surface at an altitude z is due to the weight of the column of air situated above the surface. Therefore, the difference in air pressure p between the top and bottom of a cylindrical volume element of height Az and cross-section area A equals the weight of the air enclosed (density ρ times volume V-: ΑΔε times gravity g), per unit area: Let Δ、→0 to derive...
PLEASE SHOW ALL WORK. U Question 13 O pts 1) The bulk modulus of water is 2.2 x 10° Pa 22 x 10 N/m?). By how much does a cubic meter (10mof water decrease in volume when it is taken from the surface of the ocean down to a depth of 1.0 km, where the pressure is 98 10Pa greater than at the surface? II) A 0.250 kg object attached to a spring oscillates on a frictionless horizontal table with...
Question 3 (20marks) (a) What do you understand by the term "Dynamic Similarity (b) The drag force F on a body of characteristic dimension D, depends on velocity u, fluid coefficient of dynamic viscosity n, density t and bulk modulus K. (2marks) tu u (14 marks) By means of dimensional analysis show that Fo eD'u K (c) A specimen of length 1.5m is placed in test equipment where water flows past it at a speed of 4m/sec. Caleulate the corresponding...
The equilibrium constant, K. for a redox reaction is related to the standard potential, E, by the equation Fe(s) + Ni+ (aq) +Fe?+ (aq) + NI(s) FE In K = Express your answer numerically. View Available Hints) where n is the number of moles of electrons transferred, F (the Faraday constant) is equal to 96,500 C/(mole). R (the gas constant) is equal to 8.314 J/(mol-K). and T is the Kelvin temperature. ΟΙ ΑΣΦ h ? KK- Submit Previous Answers *...
02) Consider a hydrostatic system represented by the thermodynamic variables volume V, pressure P and temperature T. a) Consider entropy S = S(T, V) and derive the equation TdS. Tas = Cvat +T (1) dV. V Show that this equation can be written as follows BT TdS = CydT + PDV where Cv is the thermal capacity at constant volume, B is the isobaric expansiveness and K is isothermal compressibility: b) Consider a gas described by the equation of state...