Energy resultant of Solidification Point Of Ethanol

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SUMMARY

The minimum amount of energy that must be removed to solidify 200 mL of ethyl alcohol at 22°C is calculated to be 68,706.12 J. The calculations involve determining the mass of ethyl alcohol using its density (790 kg/m³) and applying the specific heat capacity (2400 J/kg·K) and latent heat of fusion (1.09 x 10^5 J/kg). The process includes two key components: cooling the liquid to its freezing point and then solidifying it. The user expressed frustration over an error in their calculations, indicating a need for clarity in the application of the equations.

PREREQUISITES
  • Understanding of thermodynamics, specifically latent heat and specific heat capacity.
  • Familiarity with the properties of ethyl alcohol, including its melting point and density.
  • Proficiency in using the formula Q = mcΔT for heat transfer calculations.
  • Basic knowledge of unit conversions, particularly between mL and kg.
NEXT STEPS
  • Review the calculation of mass using density and volume for liquids.
  • Study the application of the latent heat of fusion in phase change problems.
  • Learn about the specific heat capacity of various substances and its implications in thermal energy calculations.
  • Explore common mistakes in thermodynamic calculations and how to avoid them.
USEFUL FOR

Students studying thermodynamics, chemistry enthusiasts, and anyone involved in calorimetry or phase change analysis will benefit from this discussion.

eliassiguenza
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1. Homework Statement
a beaker contains 200mL of ethyl alcohol at 22 C degrees. what is the minumum amount of energy that must be removed to produce solid ethyl alcohol..

the melting/freezing pt is -114 C degrees
Latent heat fusion = 1.09x10^5
density is 790kg/m^3
specific heat capacity = 2400 J/kg * K

2. Homework Equations
Q=mcdT
Q=ML
m=pv
Qtotal = Q1 + Q2 (Q1 = m c dT + Q=ML)

3. The Attempt at a Solution

m= p * v = (2.00*10^-4m^3)(790)=0.1578kg
so..
Q=0.1578 (2400) (136)
=51505.92 J

Q2 = 0.1578 (1.09*10^5)
=17200.2

Q1 + Q2 = 68706.12

Apparently I'm wrong where have i made a mistake! =( I'm very frustrated...

 
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anyone pleaseeeeee I'm getting crazy here! :(
 

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