Help Solving SHC & SLH Question w/ Ice Mass 2.0kg & 200w Heater

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SUMMARY

The discussion centers on calculating the temperature change of a 2.0 kg block of ice using a 200 W immersion heater. The initial temperature of the ice is -10°C, and the goal is to graph the temperature variation over time until it reaches 110°C. Key calculations involve using the formula Q = mcΔT and determining the time required for heating and melting the ice. The specific heat capacity (SHC) of water is noted as 1400 J/kg·K, which is essential for understanding the energy transfer involved in the heating process.

PREREQUISITES
  • Understanding of specific heat capacity (SHC) and its application in thermal calculations.
  • Familiarity with the formula Q = mcΔT for calculating heat transfer.
  • Knowledge of the relationship between power, energy, and time (Time = Q/P).
  • Basic graphing skills to represent temperature changes over time.
NEXT STEPS
  • Calculate the heat required to raise the temperature of 2 kg of ice from -10°C to 0°C.
  • Determine the amount of ice melted per second using the heat supplied by the immersion heater.
  • Learn about phase changes and the latent heat of fusion for ice.
  • Graph the temperature change of ice and water through its phases until reaching 110°C.
USEFUL FOR

Students studying thermodynamics, physics enthusiasts, and anyone involved in heat transfer calculations or thermal energy management.

omarshaffi
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I have tried to answer this question but I know my answer is wrong, so please could someone help me out?

Given data:

Ice mass 2.0kg
Immersion heater 200w
Initial ice temp -10dec c

This is the question:

Draw a graph, with labelled axes, to show how the temperature varies, with time when a block of ice of mass 2.0kg, has an immersion heater placed in ut, power 200w. The ice is initally at -10deg c continue the graph until the temp of water vapour is 110 deg c. SHC of water is 1400 J kg K

I have tried it using Q=mcdelta T

and then Time = Q/P

Can anyone help please?
 
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The immersion heater is supplying 200 w. How many kilocalories of heat is that per second? How much will that increase the temperature of 2 kg of ice each second? That will continue until the temperature of the ice reaches 0 when it will start to melt. Then all the heat will go into melting the ice, the temperature staying at 0 until all the ice is melted. How much ice will that heat melt per second? When will all the ice be melted? After that, the temperature of the water starts to increase. How much will that heat increase the temperature of the water each second?

(By the way, your graph will consist of three connected lines.)
 

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