Finding the Volume of Methane at the Given Conditions

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SUMMARY

The discussion centers on calculating the heat of fusion of water at -10 °C using the heat of combustion of methane (CH4) at 890.4 kJ/mol and the heat capacities of water at 75.2 J/mol·K and 37.7 J/mol·K. The participant, Ahaan, expresses confusion regarding the necessary density of methane, which is not provided in the textbook. The consensus is that the problem lacks sufficient conditions for a clear solution, indicating it may be a challenge problem without adequate context.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat transfer.
  • Familiarity with the properties of methane (CH4) and water (H2O).
  • Knowledge of heat capacities and their applications in calculations.
  • Basic skills in problem-solving for chemistry-related homework problems.
NEXT STEPS
  • Research the density of methane (CH4) for accurate calculations.
  • Study the concept of heat of fusion and its significance in thermodynamics.
  • Learn how to apply heat capacity values in thermodynamic equations.
  • Explore common challenges in thermodynamics problems and strategies for solving them.
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Chemistry students, educators, and anyone involved in thermodynamics who seeks to understand the calculations related to heat transfer and phase changes in substances.

ahaanomegas
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Long title, I know! :-p

Homework Statement



The heat of combustion of methane ([itex]\text{CH}_4[/itex]) is [itex]890.4 \ \text{kJ/mol}[/itex] and the heat of capacity of [itex]\text{H}_2\text{O}[/itex] is [itex]75.2 \ \text{J}/\text{mol}\cdot\text{K}[/itex] and that the heat capacity of [itex]\text{H}_2\text{O}[/itex] is [itex]37.7 \ \text{J}/\text{mol}\cdot\text{K}[/itex], calculate the heat of fusion of water at [itex]-10 \ { }^{\circ}\text{C}[/itex].

Homework Equations



I really don't know. I'm truly confused.

The Attempt at a Solution



From the given information, I was thinking of finding the mass of methane, but then I would need the density of methane, which was never mentioned in my textbook. So I highly doubt my thoughts are even on the right track.

Any start/hint to a solution would be highly helpful and appreciated!
Thanks in advance,
~ Ahaan.
 
Last edited:
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This problem should be restated. As it is stated, it does not make sense. You have stated any conditions.
 
Ah. Now I don't feel so guilty for not getting it. It was a challenge problem in my textbook, so I didn't make it. Sorry about that and thanks! End of thread.
 

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