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9. A jeweller puts a diamond weighing 4.31 g in abox weighing 1.5 kg. Find the total weight up toappropriate number of significant figures.Ans. 1.5 kg

Answer»

Answer:

1×1022atoms Care in a 1.00 carat diamond.

Explanation:

Convert 200 mg to g.

1000 mg=1 g

200mg×1g1000mg=0.2 g

Convert carats to grams to moles.

1.00 ct=0.2 g1mol C=12.0107 g C

1.00ct C×0.2g C1ct C×1mol C12.0107g C=0.02 mol C

Convert moles C to atoms C.

1mol C=6.022×1023atoms C

0.02mol C×6.022×1023atoms C1mol C=1×1022 atoms C(rounded to one significant figure)

Diamond weight =4.31g=0.00431kgBook weight =1.5kgBoth weight=(1.5+0.00431)kg =1.50431kg =1.5kg approx.



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