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Thermodynamic stability
1. Starting with the stability conditions on the second derivatives of the Helmholtz free energy, prove that for the Gibbs free energy we have the general inequality:
2. Use this inequality to prove that the isothermal compressibility is positive.
Determine the allowable tensile force Tallow in the cable if the allowable compressive stress in the aluminum pole is 90 MPa.
the cutting stroke of a planing machine is 500 mm and it is completed in 1 second. the planing table accelerates
a plate fin heat exchanger for truck is designed to cool high temperature and high pressure oil using high pressure
1 what cooling air flow rate would be required to maintain a space at 72 degrees f if it had a sensible cooling load of
Compute the response by numerical simulation to see if the constraint is satisfied - If the constraint is not satisfied, find the smallest value of damping that will keep the deflection less than 0.008 m.
air an ideal gas contained in a rigid insulated tank fitted with a paddle wheel initially at 27 degrees celcius 2 bar
Instrument buoys should have long periods to avoid wave resonance. Sketch a possible longperiod buoy design.
An electric immersion heater, 10 mm in diameter and 300 mm long, is rated at 550 W. If the heater is horizon- tally positioned in a large tank of water at 20°C, estimate its surface temperature. Estimate the surface temperature if the heater is ac..
The main bearing of a steam engine is 100 mm in diameter and 175 mm long.the bearing support a load of 28 kn at 250 r.p.m.if the ratio of the diametral clearance to the diameter is 0.001 and the absolute viscosity of the lubricating oil is 0.015 kg/m..
Consider the mass and pulley system shown. Mass m1 = 33kg and mass m2 = 13kg . The angle of the inclined plane is given, and the coefficient of kinetic friction between mass m2 and the inclined plane is μk=0.19.
Would the expected utility of consumers be improved by the announcement, where the expectation is calculated from the point of view of a moment before the announcement was made?
an air-standard diesel cycle is operated with a compression ratio odf 20. the heat input is 300 btulbm. at the
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