(a) making use of the fact that eq. (6.21) is an exact differential expression, show that: (∂cp/∂p)t = −t(∂2v/∂t2 )p what is the result of application of this equation to an ideal gas? final pdf to printer 6.10. problems 251 smi96529_ch06_210-263.indd 251 12/26/16 06: 13 pm (b) heat capacities cv and cp are defined as temperature derivatives respectively of u and h. because these properties are related, one expects the heat capacities also to be related. show that the general expression connecting cp to cv is: cp = cv + t ( ∂ ∂t ) v ( ∂ ∂t ) p show that eq. (b) of ex. 6.2 is another form of this expression.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Acompressor receives the shaft work to decrease the pressure of the fluid. a)- true b)- false

An ideal otto cycle with air as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 300 k and 1340 k. use constant specific heats at room temperature to determine (a) the amount of heat transferred to the air during the heat- addition kj/kg, (b) the thermal efficiency, and (c) the thermal efficiency of a carnot cycle ope limits. process, in rating between the same temperature