Temperature when a 40 g ice cube at 0.0C is dropped into 500ml of water at 30C?

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SUMMARY

The discussion centers on calculating the final temperature when a 40 g ice cube at 0.0°C is introduced into 500 mL of water at 30°C. The relevant formulas include the heat transfer equation mc(ΔT) and the heat of fusion for ice. The heat absorbed by the melting ice must equal the heat lost by the warmer water, leading to the final temperature calculation. The discussion emphasizes the importance of understanding heat transfer and phase changes in thermodynamics.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat transfer.
  • Familiarity with the concept of heat capacity and specific heat.
  • Knowledge of the heat of fusion for ice (334 J/g).
  • Ability to manipulate algebraic equations to solve for unknowns.
NEXT STEPS
  • Study the heat transfer equation mc(ΔT) in detail.
  • Learn about the heat of fusion and its application in phase change calculations.
  • Explore specific heat capacities of water and ice for accurate calculations.
  • Practice solving similar thermodynamic problems involving phase changes and heat transfer.
USEFUL FOR

This discussion is beneficial for students studying chemistry, particularly those focusing on thermodynamics, as well as educators looking for practical examples of heat transfer and phase changes.

Maggie 13
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I am new to this ... I mean forums never done it before so bear with me.
Need help with this chem question
A 40 g ice cube at 0.0C is dropped into %00ml of water at 30C. Assuming the ice melts completely,find the final temperature.
I need the equation to use and the math explained step by step if some one can help
Thanks

these are the formulas that i know i need to use
mc(delta) t... (don't know how to get the symbol for delta)
nH
 
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I assume that '%00ml' refers to 500 mL?

Try editing your post to clearly refer to the formulas you know or intend to use.

Hint: At 0C, ice begins to melt. This heat is the heat of fusion. After melting, the material (now 40 g of water) is still at 0C and has a heat capacity that is different from that of ice.
 

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