How Is the Specific Latent Heat of Fusion for Ice Calculated?

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SUMMARY

The specific latent heat of fusion for ice can be calculated using the formula Q = ml, where Q is the total energy supplied, m is the mass of the ice, and L is the latent heat. In this case, with an energy supply of 530 W over 150 seconds for a 0.25 kg sample, the calculation yields a latent heat of 318,000 Joules per kilogram. The units for the specific latent heat of fusion are confirmed to be Joules per kilogram (J/kg).

PREREQUISITES
  • Understanding of the formula Q = ml for latent heat calculations
  • Basic knowledge of energy units, specifically Watts and Joules
  • Familiarity with mass measurements in kilograms
  • Concept of specific latent heat in thermodynamics
NEXT STEPS
  • Research the concept of latent heat in thermodynamics
  • Learn about energy transfer and the relationship between Watts and Joules
  • Explore practical applications of latent heat in phase changes
  • Investigate the specific latent heat of fusion for other substances
USEFUL FOR

Students studying thermodynamics, physics educators, and anyone interested in understanding energy transfer during phase changes of substances.

swede5670
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Homework Statement


Determine the specific latent heat of fusion of ice given the amount of time it takes the ice to melt (150 seconds). Energy is supplied to the ice at 530 W. The sample is .25 kg.


Homework Equations


Q= ml


The Attempt at a Solution


(Time * 530W) = .25kg * L
150 seconds * 530W = .25kg * L
(150 * 530)/.25 = 318,000
This seems huge, can anyone help me determine what the units are?
 
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swede5670 said:

Homework Statement


Determine the specific latent heat of fusion of ice given the amount of time it takes the ice to melt (150 seconds). Energy is supplied to the ice at 530 W. The sample is .25 kg.


Homework Equations


Q= ml


The Attempt at a Solution


(Time * 530W) = .25kg * L
150 seconds * 530W = .25kg * L
(150 * 530)/.25 = 318,000
This seems huge, can anyone help me determine what the units are?

What are the units of the quantities you calculated with?

Watts = Joules/sec

So watts * sec = Joules

You used mass as kg, so what you calculated is ...

Latency = Joules/kg
 

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