The heat capacity , C , of an object is defined asthe amount of heat needed to r

Question

The heat capacity, C, of an object is defined asthe amount of heat needed to raise its temperature by 1 C°.Thus, to raise the temperature by T requires heatQ given by the following equation. Q = CT (a) Write an expression for the heat capacityC of the material. (Use c for the specific heat and m forthe mass.)
1

(b) What is the heat capacity of 1 kg of water?
2 J/C°

(c) What is the heat capacity of 50 kg ofwater?
3 J/C° Q = CT (a) Write an expression for the heat capacityC of the material. (Use c for the specific heat and m forthe mass.)
1

(b) What is the heat capacity of 1 kg of water?
2 J/C°

(c) What is the heat capacity of 50 kg ofwater?
3 J/C°

Explanation / Answer

(a)        If Q isthe heat given to the system of mass m then the rise intemparature is T then                                                          Q = m *c*T                             C = Q / T = m*c                                   (b) Heat capacity of 1kg water is C = 1kg*4186J/kg.K                                                        = ---------J/C0         (c) Heat capacity of 50kg water is C = 50kg*4186J/kg.K                                                        = ---------J/C0          (c) Heat capacity of 50kg water is C = 50kg*4186J/kg.K                                                        = ---------J/C0         

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