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gdm3 into gcm3

there is a question which is completely confusing me

The International Olympic Committee has set a limit of 2 × 10–9 g cm–3 of norandrosterone in
urine. Above that they will take action.
The urine of an athlete was analysed and shown to have a concentration of
2.2 × 10–9 mol dm–3 of norandrosterone.

(i) Calculate how many grams per cm3 this represents.
A r: C, 12; H, 1.0; O, 16.
concentration of norandrosterone = .............................................. g cm–3

rmm of molecule is 276 ( was able to work this out)

The answer they give is

Mr = 276 (1);
2.2 × 10–9 x 276 (ecf on Mr) (= 6.1 × 10–7) (1)
/1000 and evaluate = 6.1(6.07) × 10–10 (1) ecf
6.1(6.07) × 10–4 scores (2)

So does that imply that the answer is 6.1x-10? if so i dont understand why you would divde by 1000 and not multiply by 1000 to go from dm3 to cm3

Reply 1

It's gdm-3 into gcm-3 that's needed.

1 gramme per litre is going to be less concentrated than 1 gramme per millilitre...

so 1000 grammes per litre is going to equal 1 gramme per millilitre

so you need to divide gdm-3 by 1000 to get to gcm-3

:smile: