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# Nalorphene (C19H21NO3), similar to morphine, is used to combat withdrawal symptoms in narcotic users. Dose of nalorphene generally given is 1.5 mg.

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Nalorphene (C19H21NO3), similar to morphine, is used to combat withdrawal symptoms in narcotic users. Dose of nalorphene generally given is 1.5 mg. Calculate the mass of 1.5 x 10-3 m aqueous solution required for the above dose.

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The molar mass of nalorphene (C19H21NO3) is given as:

19 x 12 + 21 x 1 + 1 x 14 + 3 x 16 = 311 g mol-1

In 1.5 × 10-3 m aqueous solution of nalorphene,

1 kg (1000 g) of water contains 1.5 × 10-3 mol = 1.5 x 10-3 x 311 g

= 0.4665 g

Therefore, total mass of the solution = (1000 + 0.4665)g

= 1000.4665 g

This implies that the mass of the solution containing 0.4665 g of nalorphene is 1000.4665 g.

Therefore, mass of the solution containing 1.5 mg of nalorphene is

= $$\frac{1000.4665 \times 1.5 \times 10^{-3}}{0.4665}$$g

= 3.22 g

Hence, the mass of aqueous solution required is 3.22 g.

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