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The molar heat of fusion of gold is 12.550 kJ mol–1. At its melting point, how much mass of melted gold must solidify to release 235.0 kJ of energy?

Sagot :

1 mole of gold = 197g

12.550 kJ-------------- 197g Au
235.0 kJ--------------------x
x = 3,69g Au

answer: 3,69g Au

Answer;3.67061 kg of gold must be solidified to release 235 kJ of energy.

Explanation:

Molar heat of gold = 12.550 kJ/mol

1 mole of gold releases = 12.550 kJ/mol

Or we can rewrite it as ,1 kJ of energy is given by[tex][\frac{1}{12.550} mol[/tex]

Then 235 kJ of energy will be released by:

[tex]\frac{1}{12.550 kJ}\times 235 kJ=18.72 moles[/tex] of gold

Mass of gold in 18.72 moles = 18.72 mole × 196.08 g/mol =3,670.61 g =3.67061 kg

1 kg = 1000 g

3.67061 kg of gold must be solidified to release 235 kJ of energy.