Answer is: 2,42·10²² atoms of gold.
<span>1 ounce (oz) is equal to 28,34952 grams (g).
</span>0,375 oz = 10,631 g.
75% gold = 10,631 g · 0,75 = 7,973 g.
n(Au) = m(Au) ÷ M(Au).
n(Au) = 7,973 g ÷ 197 g/mol.
n(Au) = 0,0404 mol.
N(Au) = n(Au) · Na.
N(Au) = 0,0404 mol · 6,023·10²³ 1/mol.
N(Au) = 2,42·10²².
n - amount of substance.
Na - Avogadro number.
Answer : The molar heat of fusion for substance X is, 775.6 cal/mol
Explanation :
First we have to calculate the moles of substance X.

Given:
Molar mass of substance X = 58.45 g/mole
Mass of substance X = 326.0 g
Now put all the given values in the above expression, we get:

Now we have to calculate the molar heat of fusion for substance X.

where,
Q = heat releases = 4325.8 cal
= molar heat of fusion for substance X = ?
n = moles = 5.577 mol
Now put all the given values in the above expression, we get:

Thus, the molar heat of fusion for substance X is, 775.6 cal/mol
ΔG= ΔH - TΔS
YOU need to change the values to the same unit.. 42.08 J to Kj which is 42.08 x 10-3.
ΔG= (41.17) - (298K)(42.08x10-3)= 28.6 Kj/mol
because delta G is positive, it means this reaction is reactant favored.