Final answer:To obtain 75 g of nickel from an ore that is 29.9% nickel by mass, approximately 0.252 kilograms of the ore would be required.Explanation:This type of problem is a matter of conversion between the mass of the ore overall and the mass of the specific component, in this case, nickel. The ore is 29.9% nickel by mass, which means for every 100 g of ore, there are 29.9 g of nickel.To find out how much ore is needed to yield 75 g of nickel, we can set up a proportion: (29.9 g nickel / 100 g ore) = (75 g nickel / x g ore).Solving for x, we find x = (75 g nickel * 100 g ore) / 29.9 g nickel = approximately 251.67 g ore.This is the mass of the ore required in grams. Since the question asks for the answer in kilograms, we will need to convert this to kg. Knowing that 1 kilogram = 1000 grams, we divide the answer by 1000 and find that approximately 0.252 kg of the ore would need to be dug up in order to have 75.0 g of nickel.Learn more about Mass conversions in Chemistry here:brainly.com/question/31389471#SPJ2...

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