Question

In: Physics

How much energy is required to take 4.5kg of -15C ice & bring it to room...

How much energy is required to take 4.5kg of -15C ice & bring it to room temperature (22C)?

Solutions

Expert Solution

Mass of icem=4.5kg

Initial temprature Ti=-15 C

Final temprature Tf= 22 C

First the energy is E1 reqiured to take ice from -15C to 0 C

Then Energy  E2 reqiure to convert ice to water at 0 C.

Then Energy E3 reqiure to rise the tempraure of water from 0 C to 22 C.

For E1 the temperature of the ice changes from -15C to 0 C

The amount of heat is given by Q=mC(Tf -Ti) ,where C is specific heat of ice c=2090 J/Kg C

E1=4.5 2090 (0-(-15)) = 4.5 209015 =141,075 J

When the temperature of the ice reaches 0.0°C, the ice –water mixture
remains at this temperature . So Energy E2 require to melt it .

E2 =mL, where L is latent heat of melting

E2 = 4.53.3105 = 14.85 105 J

The amount of energy necessary to increase the temperature from 0.0°C to 22 C

E3= mcw(Tf - Ti ), where cw is specific heat of water , cw=4.19 103 J/kg.C

E3=4.5 4.19 103(22-0) = 4.5 4.19 10322 = 414.81 103 J

Total Energy E = E1 + E2 + E3 =141,075 + 414.81 103  + 14.85 105 = 2.040885 106 J = 2.04 106 J


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