Question

how many mg of drug would a 145 pound person receive if the dosage of the drug was 4 mg/kg? (the density of the drug is 1.5 g/ml)
395 mg
264 mg
16 mg
176 mg
80 mg
question 8 (3 points)
if a 10 gram metal object was placed in 50 ml of water causing the water level to become 56 ml, what is the density of the metal object in g/ml?
60 g/ml
0.6 g/ml
none are correct
0.2 g/ml
0.178 g/ml

Explanation:

Step1: Convert pounds to kilograms

We know that 1 kg = 2.205 lb. So, for a 145 - lb person, the mass in kg is $m=\frac{145}{2.205}\approx65.76$ kg.

Step2: Calculate the drug dosage

The dosage is 4 mg/kg. So the amount of drug in mg is $4\times65.76 = 263.04\approx264$ mg.

For the second - part:

Step1: Calculate the volume of the metal object

The volume of the metal object $V$ is equal to the change in the water level. So $V=56 - 50=6$ ml.

Step2: Calculate the density of the metal object

The density $
ho$ is given by the formula $
ho=\frac{m}{V}$, where $m = 10$ g and $V = 6$ ml. So $
ho=\frac{10}{6}\approx1.67$ g/ml. Since none of the given options match for the second part.

Answer:

First question: 264 mg
Second question: none are correct