Steel balls 12 mm in diameter are annealed by heating to 1150 k and then slowly cooling to 400 k in an air environment for which latex: t_{\infty}=325\: kt [infinity] = 325 k and latex: h=20\: \frac{w}{m^2k}h = 20 w m 2 k. assuming the properties of the steel to be k=40 w/m. k, and latex: \rho=7800\: \frac{kg}{m^3}rho = 7800 k g m 3, c= 600 j/kg. k, estimate the time required (in seconds) for the cooling process.

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