How Do I Calculate Energy Changes in Thermodynamics Problems?

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SUMMARY

This discussion focuses on calculating energy changes in thermodynamics, specifically for phase transitions and temperature changes. The first problem involves calculating the energy required to evaporate a 45g ice cube, utilizing the formulas E=mf for melting and E=mLv for vaporization, with specific heat values provided: Lf for water is 3.3x10^5 J/Kg, and the specific heat capacities for water and ice are 4.2x10^3 J/Kg°C and 2.1x10^3 J/Kg°C, respectively. The second problem addresses the energy released by burning an 80g mandarin orange in a bomb calorimeter, requiring the calculation of energy change in 1.55kg of water as its temperature rises from 21.0°C to 39.4°C, using the formula Q=mc(Tf-Ti).

PREREQUISITES
  • Understanding of thermodynamic principles, specifically phase transitions.
  • Familiarity with specific heat capacity and latent heat concepts.
  • Ability to apply the formula Q=mc(Tf-Ti) for temperature change calculations.
  • Knowledge of energy units, particularly Joules and calories.
NEXT STEPS
  • Study the concept of latent heat and its applications in phase changes.
  • Learn how to calculate energy changes during phase transitions using specific heat capacities.
  • Explore the use of bomb calorimeters for measuring energy changes in chemical reactions.
  • Practice problems involving Q=mc(Tf-Ti) for various substances and phase changes.
USEFUL FOR

Students preparing for thermodynamics exams, educators teaching energy calculations, and anyone interested in understanding energy changes in physical and chemical processes.

Roro312
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Tomorrow is my test and i understand partially everything... and than i stumbled upon these two questions and if i just know what's used for each formula .. i can do it

1) Calculate the amount of energy required to evaporate an ice cube having a mass of 45g.

I know that first it must go for solid to liquid which is E=mf and than from liquid to gas which is E=mLv .. can someone please show me how to do them... my test is tomorrow:(

Lf water= 3.3x10^5 J/Kg
water=4.2x10^3 J/Kg'C
ice= 2.1x 10^3 J/Kg'C

the other question i didnt get was:

2)An 80g mandarin orange is burned in bomb calorimeter. The 1.55 kg of water change in temperature from 21.0'C to 39.4'C. Calculate the energy per gram in the mandarin orange.


I would show you my attempt except its just ridiculous because i reallyyyy don't get it.


Your help is muchhhh appreciated.. i need help ASAP ...thank you
 
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Well for the first one, you will need energy to

1)convert the ice to liquid which is (solid to liquid)
2) Raise the temperature to the boiling point of water
3) convert all the liquid to vapor

So find the individual energy requirements and add them up.


For the second one, how much energy would it take to raise the temperature of water of mass 1.55kg from 21C ro 39.4C?.
 
Thats the problem... i don't know how to convert solid to liquid.. what formula do i use?
 
Q=mC C is a constant you can look up for water its different depending on which phase transition you are calculating.
Q=mc(Tf-Ti) for when your raising the temperature c i think its 1cal/gC for water.

Add all the Qs and viola
 

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