Assume the deformation energy of a diatomic molecule can be expressed by the harmonic potential (shifted in coordinate and energy axes, in general).

The energy of the bond was measured for different interatomic distances:

U(r = 1 Anstrom)= 0.1 Ha; U(r 1.5 Anstrom)0.01; U(r 2.0 Anstrom) 5;

Determine the equilibrium distance and the force constant.

Consider a power plant with water as the working fluid that operates on an ideal rankine cycle. it has a net power output of 45mw. superheated steam enters the turbine at 7mpa and 500°c (h=3411.4 kj/kg; s=6.8 kj/kg k) and is cooled in the condenser at a pressure of 10 kpa by running cooling water from a lake through the tubes of the condenser at a rate of 2000 kg/s. (a) show the cycle on a t-s diagram (a right schematic is fine - you do not need to calculate the temperatures at each point); (b)-determine the work done by the turbine and the pump in kj/kg; (c)-the mass flow rate of water used by the power plant; (d)-the thermal efficiency of the cycle; (e)-the temperature rise of the cooling water. assume the cooling water is incompressible with cp 4.18 kj/kg°c.