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

AI Thread Summary
To calculate the molar specific heat of a substance, the mass per mole is 55 g/mol, and a 32.0 g sample experiences a temperature increase from 22.0°C to 39.5°C with 284 J of heat added. The specific heat is calculated using the formula Q = mcΔT, leading to a calculation of 9.44 J/[mol(K)], which is identified as incorrect. The correct specific heat value is given as 507.14 J/[kg(K)], prompting a discussion on converting grams to kilograms for accurate calculations. The conversation emphasizes the importance of unit consistency in thermodynamic equations.
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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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