How Long to Melt an Ice Cube in a Microwave with 104 Watts?

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SUMMARY

The time required to melt an ice cube in a microwave delivering 104 Watts of power is calculated using the formula t = J/W, where J is the energy required (32165 J) and W is the power output (104 W). The correct calculation yields a melting time of 309.3 seconds. This is confirmed by the relationship that 1 Watt equals 1 Joule per second, allowing for straightforward division of energy by power output.

PREREQUISITES
  • Understanding of basic physics concepts, specifically energy and power.
  • Familiarity with the formula for calculating time based on energy and power.
  • Knowledge of unit conversions, particularly between Joules and Watts.
  • Basic mathematical skills for performing division and unit analysis.
NEXT STEPS
  • Research the principles of thermodynamics related to phase changes, specifically melting.
  • Learn about the efficiency of microwave ovens and how they transfer energy to food.
  • Explore the concept of specific heat and how it applies to different substances.
  • Investigate the effects of varying power levels in microwave cooking.
USEFUL FOR

Students studying physics, culinary professionals using microwave technology, and anyone interested in the science of cooking and energy transfer.

Cassie
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An ice cube is placed in a microwave oven. Suppose the oven delivers 104 W of power to the ice cube and that it takes 32165 J to melt it. How long does it take for the ice cube to melt?


Following my lecture notes and my textbook ... the formula should be t=(J/W), but that isn't giving me the correct answer. Therefore I assume I am missing a step, can anyone help?
 
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What answer did you get?
 
Cassie said:
An ice cube is placed in a microwave oven. Suppose the oven delivers 104 W of power to the ice cube and that it takes 32165 J to melt it. How long does it take for the ice cube to melt?


Following my lecture notes and my textbook ... the formula should be t=(J/W), but that isn't giving me the correct answer. Therefore I assume I am missing a step, can anyone help?

I am getting an answer of 309.3s using your equation which seems correct to me...

1 Watt = 1 J/s so 104Watts=104J/s

Then dividing the energy used to melt the ice by the power output of the microwave.
 

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