Derive an expression for Delta G, with respect to Delta S_universe for a system at constant...
5. (9 marks) Derive an expression for the equilibrium constant starting from: G = G°+RTIN
Question 6: a) Derive and expression for the steady state error of the system described below when a unit ramp function is used as input. r(t) —+ Q G.(s) Gy(s) y(t) H(s) 10 b) Find the steady state error with a ramp input as a function of K, when the transfer functions of the system are given as: Gc= + 3 G p = Gips? +45 +10 and H= 0.1 c) For what values of K would the system have...
Derive the error expression for the following:
b. where g is an exact constant but m, v and h are measured values with uncertainties. pa: 10 cos θ where both vo and 6 are measured values c.
2. Derive an expression for (as) for a gas with the equation of state: P(V-nB) = nRT, where B is a constant.
2. Derive an expression for (as) for a gas with the equation of state: P(V-nB) = nRT, where B is a constant.
B. Rotational System (0-4) Find the theoretically predicted period of the torsional pendulum. Derive an expression for Tos in terms of the torsional spring constant (r) and the rotational inertia of the disk (1) Find the torsional spring constant. 15.0cm 7.50 cm radius Torsion lathe diameter hanging mass (g) 50 torque (Nm) 150 250 350 450 37.5 46-2 55-3 G3.1 71.1 angular position (deg) angular position (rad) We were unable to transcribe this imageA. Translational System (Q-1) Find the theoretically...
G. Derive an expression for Ground Resistance of a hemisphere of radius "r" buried in soil with soil resistivity p.
Thermal/Statistical Physics: Derive an expression for the enthalpy of a system if the partition function depends on X and T. Assume that the particles obey classical statistics.
2. Consider free expansion of a gas when the internal energy U remains constant. Derive: a) the expression for (дт/avJu in terms of P, T, Cv and (ap/aT)v b) the expression for (as/aV)u in terms of P and T c) using equations obtained in a) and b) calculate (expression for) the change of temperature AT and change of entropy AS for a free gas expansion from Vi to V2.
2. Consider free expansion of a gas when the internal energy...
c. Derive the following expression Using the expression in part c, derive an expression for terms of only Rand P. d. ASof an ideal gas in How does the molar entropy change with increasing pressure for an ideal gas? Justify you answer using the result in part d e.
Which of the following statements about the expression Delta G=RTln (Q/K_eq) is not correct? It is the same as AG=RTln(Q) - Rti=In(K_eq). Delta G = 0 when Q = Keq. If Q = 1, then Delta G=RTln(Keq). Q can only equal K_eq at equilibrium.