Can anyone please help me with these 4 parts of a set of questions? I would appreciate an explanation too as the professor was not thorough on this concept.

A 99.5 kg weight-watcher wishes to climb a mountain to work off the eguivalent of a large piece of chocolate cake rated at 911 (food) Calories. How high must the person climbh? The acceleration due to gravity is 9.8 m/ % and 1 food Calorie is 10% calories. Answer in units of km. A 0.0431 kg ingot of metal is heated to 257C and then is dropped into a heaker containing (0.387 kg of water initially at 23C. If the final equilibrinum state of the mixed system is 25.4C, find the specific heat of the metal. The specific heat of water is 4186 J/kg " C. Answer in units of J/'kg -* C. Three liquids are at temperatures of 147C, 22C, and 3(FC, respectively. Equal masses of the first two ligquids are mixed, and the equi- librinm temperature is 19C. Equal masses of the second and third are then mixed, and the equilibrium temperature is 27C. Find the equilibrinm temperature when equal masses of the first and third are mixed. Answer in units of \"C., How much energy 1s required to change a 40 g ice cube from ice at 14C to steam at 118C? The specific heat of ice is 2090 J /kg - C, the specific heat of water is 4186 J/kg ." C, the specific heat of stream is 2010 J/kg - C, the heat of fusion is 3.33 x 10 J Jkg. and the heat of vaporization is 2.26 x 105 ] Jke. Answer in units of J