The most efficient method would be to passing a magnet through the mixture.
Explanation:
a) passing a magnet through the mixture
It is the most efficient method to separate the iron fillings and the salt. The iron will be attracted by the magnet, because the presence of the unpaired electrons in the iron which induces paramagnetic properties and it will be attracted by the magnet, while the salt, which most probably sodium chloride which does not have unpaired electrons so it will be a diamagnetic compound that is not be attracted by a magnet.
b) sorting the mixture by hand
It is a ineficient way to separate the iron from the salt because it will require a lot of energy and time.
c) distilling the mixture
It is extremely hard to do that because iron and salt have very high boiling points.
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separating mixtures
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Answer: 0.87 g of an 8% w/w progesterone gel must be mixed with 1.45 g of a 4% w/w progesterone gel to prepare a 5.5% w/w gel.
Explanation:
According to the dilution law,
where,
= concentration of ist progesterone gel = 8%w/w
= weight of ist progesterone gel = x g
= concentration of another progesterone gel = 4% w/w
= weight of another progesterone gel = 1.45 g
= concentration of resulting progesterone gel = 5.5%w/w
= weight of resulting progesterone gel = (x+1.45) g

Thus 0.87 g of an 8% w/w progesterone gel must be mixed with 1.45 g of a 4% w/w progesterone gel to prepare a 5.5% w/w gel.