Mixed Water Temperature: 100ml @ 20°C & 400ml @ 40°C

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SUMMARY

The discussion centers on calculating the final temperature when mixing 100 ml of water at 20°C with 400 ml of water at 40°C. According to the first law of thermodynamics, the energy lost by the hot water equals the energy gained by the cold water. The final temperature can be determined using the formula for heat transfer, resulting in a final temperature of 36°C after mixing.

PREREQUISITES
  • Understanding of the first law of thermodynamics
  • Basic knowledge of heat transfer principles
  • Familiarity with specific heat capacity of water
  • Ability to perform algebraic calculations
NEXT STEPS
  • Research the specific heat capacity of water and its implications in thermal calculations
  • Learn about the concept of thermal equilibrium
  • Explore practical applications of the first law of thermodynamics in real-world scenarios
  • Study advanced heat transfer methods, including conduction and convection
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Students in physics or chemistry, educators teaching thermodynamics, and anyone interested in understanding heat transfer in mixtures.

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Homework Statement

If a beaker has 100 ml of water at 20 degrees and another one has 400ml of water at 40 degree what would the temperature be when mixed
 
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What are your thoughts on the question? Have you made an attempt?

HINT: Think about the first law of thermodynamics -- the energy transferred from the hot water will be equal to the energy transferred to the cold water. Whatever this energy is, it should cause the hot and cold water to end up at the same temperature.
 

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