robincesario1964 robincesario1964
  • 13-05-2020
  • Chemistry
contestada

If 756 J of heat is needed to melt 12g of gold, what is the heat of fusion?

Respuesta :

sebassandin
sebassandin sebassandin
  • 17-05-2020

Answer:

[tex]\Delta _mH=63J/g[/tex]

Or:

[tex]\Delta _mH=12.4kJ/mol[/tex]

Explanation:

Hello,

In this case, since the required heat to turn solid gold into liquid gold is computed by:

[tex]Q=m\Delta _mH[/tex]

Which is mass and enthalpy of fusion- dependent, we compute the enthalpy of fusion as shown below:

[tex]\Delta _mH=\frac{Q}{m} =\frac{756J}{12g}\\ \\\Delta _mH=63\frac{J}{g}[/tex]

Or in kJ/mol (typical data):

[tex]Delta _mH=63\frac{J}{g}*\frac{1kJ}{1000J} *\frac{197g}{1mol}\\ \\Delta _mH=12.4kJ/mol[/tex]

Best regards.

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