Please provide the solution solution to question number 9

Asked by adityaahuja099 | 17th Oct, 2017, 04:24: PM

Expert Answer:

Please note the density of gold given in the question is incorrect.

It is 19.32 gm/cc

Volume of copper + volume of the gold = volume of the crown

$begin mathsize 12px style open parentheses mass over density close parentheses subscript copper space end subscript plus open parentheses mass over density close parentheses subscript gold space end subscript equals space volume space of space crown space end style$

Loss in weight of the crown = 210 - 198=12gm

Volume of crown=12 cc (1 kg water have a volume of 1000 cc)

$begin mathsize 12px style open parentheses mass over density close parentheses subscript copper space end subscript plus open parentheses mass over density close parentheses subscript gold space end subscript equals space 12 end style$

Let X_gold be the quantity of gold

Hence, quantity of copper = 210-X_gold

$begin mathsize 12px style open parentheses fraction numerator 210 minus straight X subscript gold over denominator 8.5 end fraction close parentheses subscript copper space end subscript plus space open parentheses fraction numerator straight X subscript gold over denominator 19.32 end fraction close parentheses subscript gold space end subscript equals space 12 end style$

X_gold =193 gm

Answered by Gajendra | 5th Dec, 2017, 07:18: PM

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