Solve the all parts of given problem:
Problem: Take temperatures and efficiencies to be exact. A steam engine has a thermal efficiency of 15.0%.
Part I: If its heat input for each cycle is supplied by the condensation of 6.50kg of steam at 100 µC, what is the net work output per cycle?
Part II: How much heat is lost to the surroundings in each cycle?
Please show all the work and steps to solve the above problem.