For all problems, make sure to show ALL work, state ALL assumptions. include ALL reference points, and CIRCLE any answers requested (or the final if only one answer is requested).
1) A bicyclist is traveling at 25 km/hr when he encounters a 90 m hill. Neglecting road and wind resistance:
a) If the hill is going up, what vertical elevation could the cyclist achieve without pedaling?
b) If the hill is going down, what speed would the bicyclist achieve without pedaling?
2) One kilogram of steam is contained in a horizontal frictionless piston and the cylinder is heated at constant pressure of 1.013 bar from 125°C to such a temperature that the volume doubles. If the amount of heat that must be added to accomplish this change is 260 kJ, calculate the final temperature of the steam (assume ideal gas law for now), the work the steam does against its surroundings, and the internal energy changes for the process. Does your value seem too high or too low - if so, why?