1moles of an ideal gas are in equilibrium at fixed pressure (e. g. 106 pa) and temperature (e. g. 300 k).

1) what is the derivative of the gas' g with respect to volume for those conditions?
at fixed t, p,n dg/dv=
j/m3
2)what is the equilibrium volume for those conditions?
v=
m3
3) the two key features of an ideal gas are:

a) u depends only on n and t, not v.
b) the v dependence of s is given by a term nk*ln(v)

for a gas that obeys (a) but has some excluded volume so s goes as nkln(v? nb)nkln? (v? nb), with b=1.1 × 10-28 m3, find the equilibrium volume v. all other conditions are the same as above.

Two horizontal plates with infinite length and width are separated by a distance h in the z direction. the bottom plate is moving at a velocity u. the incompressible fluid trapped between the plates is moving in the positive x-direction with the bottom plate. align gravity with positive z. assume that the flow is fully-developed and laminar. if the systems operates at steady state and the pressure gradient in x-direction can be ignored, do the following: 1. sketch your system 2. identify the coordinate system to be used. 3. show your coordinates and origin point on the sketch. list all your assumptions. 5. apply the continuity equation to your system. nts of navier stokes equations of choice to your system 7. solve the resulting differential equation to obtain the velocity profile within the system make sure to list your boundary conditions. check units of velocity 8. describe the velocity profile you obtain using engineering terminology. sketch that on the same sketch you provided in (1). 9. obtain the equation that describes the volumetric flow rate in the system. check the units.

What is special about a dc circuit ?

Aspring is used to stop a 50-kg package which is moving down a 20º incline. the spring has a constant k = 30 kn/m and is held by cables so that it is initially compressed 50 mm. knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest.