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Show that the three TdS equations can be written as Τα 1. TAS = CydT +...
These are the chain rules to be used. ЭС ДА Әв -1 дА В Әвс дс A А 1 A B B 2 Expressions for TdS for Different Independent Variables The differential first law of thermodynamics for a system with a constant number of particles, TdS = dUPdV, can be expressed as a function of either dV and dP, dP and dT or dT and dV. In the lecture, the relation TdS CydT +T& dV has been derived кт a)...
The 1st Law of Thermodynamics can be written in the differential form dQ dUPdV. i) By expressing dU in terms of dT and dV, show that dQ dV +P аT . dT (15 marks) Hence show that for one mole of an ideal gas, the heat capacities Cp and Cv differ by the Gas Constant, R (10 marks) TV B2 av Show that Cp-C can be also be expressed as Cp-C, -T| ӘР ат av к (15 marks) The 1st...
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...
Show that the relativistic equation ot motion can be written in the form (V.f) Mo dv 1-(v/c)]' Y2 dt point charge, and that i t is the Lorent2 torce on a qlE+ VxB), the right-hand side becomes 9E+VxB- Iv. E) /c 1 v Show that the relativistic equation ot motion can be written in the form (V.f) Mo dv 1-(v/c)]' Y2 dt point charge, and that i t is the Lorent2 torce on a qlE+ VxB), the right-hand side becomes...
can you teach me how to drive to get to these equations ? I wanna end up to these equations bot starting from these equations Show that the Joule-Thomson coefficient can be written as - au av С, Чәv дт иу-т 3D ӘР. ӘР т т T =0 for an ideal gas Show that
dV dt' Show that the displacement current through a parallel-plate capacitor can be written as Id-C-, where V is the voltage across the capacitor at any instant. 2.
d. CH 206 to (complete combustion) e. C6H12O6 to — (incomplete combustion) Net Ionic equations can be written for double displacement and single displacement reactions. All elements, precipitates, liquids, and lons not appearing on both sides of the equation are shown in a net ionic equation. 14. Write net ionic equations for the following unbalanced equations. a. Na3PO4 (aq) + SrCl2 (aq) → Sr3(PO4)2 (s) + NaCl (aq) b. Bi(NO3)2 (aq) + Na, SO4(aq) → Bi2(SO4)3 (s) + NaNO, (aq)...
Problem 5 Given the following system of equations written as LUX = b [1 0015 6 3 11X1] 1-6 4/5 1 0 0 -9/5 -12/5||X2| = |b2 1-1 -20/3 1] LO 0 -8 J[x3] -2 determine the following 1. Identify the three row operations used to factorize A. 2. Solve the system of equations using forward and back substitution finding a value for b2 such that y2 = 12. 3. Write out the original system of equations as Ax =...
2.) As in problem 1, show that a. dH = Tds + VdP b. Aš = C, In - Rin for an ideal gas 3.) Ethene may be regarded as an ideal gas and its heat capac regarded as an ideal gas and its heat capacity is temperature dependent according to 7 (T) = 16.4104R-008. a. Confirm that 38.75 J K is the value for the entropy change of heating one mol of ethane from 300 to 600K at constant...
Surface area. Consider a Surface written in the vector form where u and v are parameters (a) Justify or motivate the surface-area formula du dv 1. CiU . (b) Show that the above surface-area formula can also be written as 1.64 where E. F, and G are the coefficients of the first fundamental form. c) Write the surface 1.65 in vector form and show that the above formulas for area imply that S-2 Surface area. Consider a Surface written in...