Calculate Molar Specific Heat of Substance: 284J, 22.0°C to 39.5°C

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SUMMARY

The discussion focuses on calculating the molar specific heat of a substance with a mass per mole of 55 g/mol. A 32.0 g sample of this substance experiences a temperature increase from 22.0°C to 39.5°C after absorbing 284 J of heat. The specific heat calculated was initially incorrect at 9.44 J/[mol(K)], while the known specific heat is 507.14 J/[kg(K)]. The correct approach involves converting grams to kilograms for accurate calculations.

PREREQUISITES
  • Understanding of specific heat capacity and its units
  • Familiarity with the equation Q = mcΔT
  • Knowledge of converting grams to kilograms
  • Basic mole concept and molar mass calculations
NEXT STEPS
  • Review the conversion of mass from grams to kilograms in heat calculations
  • Learn about the relationship between specific heat and molar specific heat
  • Study the implications of heat transfer in thermodynamics
  • Practice problems involving Q = mcΔT with various substances
USEFUL FOR

Chemistry students, educators, and anyone involved in thermodynamics or calorimetry calculations will benefit from this discussion.

G-reg
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Homework Statement


A certain substance has a mass per mole of 55 g/mol. When 284 J is added as heat to a 32.0 g sample of this material, its temperature rises from 22.0°C to 39.5°C

And I know that the specific heat of this substance is 507.14 J/[kg(K)]


Homework Equations



Q = mc\DeltaT


The Attempt at a Solution



55 g/mol * (1/32g) = 1.71875mol

284J/[(1.71875mol)/(39.5-22)] = 9.44 J/[mol(K)]

however..this is wrong and now I'm not sure where to go..help pleeeease!
 
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G-reg said:

Homework Statement


A certain substance has a mass per mole of 55 g/mol. When 284 J is added as heat to a 32.0 g sample of this material, its temperature rises from 22.0°C to 39.5°C

And I know that the specific heat of this substance is 507.14 J/[kg(K)]

I assume you used the information to find that.

c= 507.14 \frac{J}{kgK}


for the substance, 1 mol has how much mass in kg?
 

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