What will be the biggest source of error if too much water is used? How could yo

Question

What will be the biggest source of error if too much water is used? How could you use this calorimeter to determine the amount of heat required to melt one gram of ice at 0 degree C? If 1 cal = 4.186 J, what is the specific heat of water in J/kg middot K? Show that the specific heat measured in kcal/kg middot K is the same as that measured in Btu/lb degree F. A platinum ball with a mass of 100 g is removed from a furnace and dropped into 400 g of water at 0 degree C. If the equilibrium temperature is 10 degree C and the specific heat of platinum is 0.03 cal/g middot degree C, what is the temperature of the furnace? Neglect the effects of the calorimeter. When 50 g of ice at 0 degree C is placed in 400 g of water at 55 degree C, the final temperature is 40 degree C. If we ignore any exchange of heat to the surroundings, how much heat does it take to melt 1 g of ice at 0 degree C?

Explanation / Answer

11.

m = mass of the ball = 100 g

M = mass of water = 400 g

cp = specific heat of ball = 0.03

cw = specific heat of water = 1

T = equilibrium temperature

using conservation of energy

heat lost by ball = heat gained by water

m cp (T - 10) = M cw (10 - 0)

(100) (0.03) (T - 10) = (400) (1) (10)

T = 1343.33

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