For a multicomponent mixture containing any number of species, prove that M ¯ i = M + ( ∂ M ___ ∂ x i ) T, P − ∑ k x k ( ∂ M ___ ∂ x k ) T, P where the summation is over all species. Show that for a binary mixture this result reduces to Eqs. (10.15) and (10.16).

The higher the astm grain-size number, the coarser the grain is. a)-true b)-false

The thermal expansion or contraction of a given metal is a function of the f a)-density b)-initial temperature c)- temperature difference d)- linear coefficient of thermal expansion e)- final temperature f)- original length

For each of the following process: a) sketch the p-v diagram, b)sketch t-s diagram, c) sketch t-v diagram, d) sketch the boundary work on one of the diagrams (a, b or c) and e) sketch the reversible heat transfer on one of the diagrams (a, b or c): 1- isobaric process from compressed liquid to superheated vapor 2- isothermal process from compressed liquid to superheated vapor 3- isentropic process from compressed liquid to superheated vapor