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(1). Compute the total quantity of heat (both in Kcal and J) required to raise t

ID: 2251941 • Letter: #

Question

(1). Compute the total quantity of heat (both in Kcal and J) required to raise the temperature of 1.00kg of ice at -10.0 degrees C to 1.00kg to steam at 110.0 degrees C. Assume no loss of mass or heat in this process. Note that this will require several computations that must be completely added up, and you must include all phase changes and use the correct specific heats. (2). A rectangular boat is overloaded so that the water level (in fresh water) is just one centimeter(1.0cm) below the top of the boat. If the boat measures 4.5 meters long by 2.0 meters wide and has a height or depth of 0.30 meters, what is the combined mass of all the people and the boat combined? Please explain answers clearly, thank you!

Explanation / Answer

1) Total Heat required = heat required to rise the temp of ice from -10 to 0 + heat required to melt the ice + heat required


to increase the temp of water from 0 to 100 C + heat required to vaporize water + heat required to increase the temp of steam


form 100 to 110 C .


Given Mass of ice = 1000 grams


So Mi = Mw = Ms = 1000


specific heat of ice Si = 2.01


Sw =4.184

  

Ss= 2.01


Lf = 334


Lv = 2260


Q = Mi Si dTi + Mi Lf + Mw Sw dTw + Mw Lv + Ms Ss dTs


Q= 1000 x 2.01 x ( 10) + 1000 x 334 + 1000 x 4.184 x 100 + 1000 x 2260 + 1000 x 2.01 x 10


Q= 3052600


total heat required is 3052600 J


total heat required is 3052.6 k J


total heat required is 3052.6 / 4.18 k cal


total heat required is 730.287 kcal





2) volume of boat = l x b x h


volume of boat = 4.5 x 2 x 0.30


volume of boat = 2.7 m3


volume of boat in water = 4.5 x 2 x 0.29


volume of boat in water = 2.61 m3


mass required = mass of water displaced


mass required = 2.61 x 1000

mass required = 2610 kg



so the total mass is 2610 kg