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a certain ore is 28.3% nickel by mass. how many kilograms of this ore would you need to dig up to have 55.0 g of nickel?

Sagot :

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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