Find the standard equation of the hyperbola which satisfies the given conditions: Find the length of the arc on a circle of radius intercepted by a central angle θ.

Radius: 15 inches Central Angle: 1800

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