The surface temperature of a lake changes from one location to another as T(x1, x2). If you attach a thermometer to a boat and take a path through the lake given by xi = bi(tˆ), find an expression for the rate of change of the thermometer temperature in terms of the lake temperature.

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