0.1943 kg of the given ore would be needed to obtain 55.0 g of nickel from it.
The percentage by mass of nickel found in the ore = 28.3 %
The mass of nickel to be obtained = 55.0 g
Let us assume that x g of the given ore are needed to be dug out to obtain the desired mass of nickel from the ore.
So,28.3 % of the mass of the dug up ore = mass of the nickel obtained
⇒28.3 % of x = 55.0g
0.283 × x = 55.0g
x = 55.0 / 0.283
x = 194.3 g
x = 194.3 × 1/1000kg
x= 0.1943kg
Hence, 0.1943 kg of the given ore would be needed to obtain 55.0 g of nickel from it.
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