Question

a molecule of hydrogen moves at a speed of 115 cm/s. how long will it take to travel the length of a football field (exactly 100 yd long)? 1 in = 2.54 cm 1 ft = 12 in 3 ft = 1 yd 1.36 s 6380 s 912 s 79.5 s question 22 1 pts a 72.7 kg patient is to receive 5.0 mg of a drug per kg of patient body weight. the drug comes formulated as a solution of 10.0 mg per ml of solution. how many milliliters of the drug solution should you give the patient? 145 ml 1.45 ml 3640 ml 36 ml

Explanation:

Question 1

Step1: Convert the length of the football field to cm

First, convert yards to feet: $100\ \text{yd}\times3\ \text{ft/yd}=300\ \text{ft}$. Then convert feet to inches: $300\ \text{ft}\times12\ \text{in/ft} = 3600\ \text{in}$. Finally, convert inches to cm: $3600\ \text{in}\times2.54\ \text{cm/in}=9144\ \text{cm}$.

Step2: Calculate the time

Use the formula $t=\frac{d}{v}$, where $d$ is the distance and $v$ is the speed. So $t=\frac{9144\ \text{cm}}{115\ \text{cm/s}}\approx79.5\ \text{s}$.

Step1: Calculate the total amount of drug needed

The patient's weight is $72.7\ \text{kg}$, and the dosage is $5.0\ \text{mg/kg}$. So the total amount of drug needed is $72.7\ \text{kg}\times5.0\ \text{mg/kg}=363.5\ \text{mg}$.

Step2: Calculate the volume of the drug solution

The drug solution has a concentration of $10.0\ \text{mg/mL}$. Using the formula $V=\frac{m}{C}$ (where $V$ is volume, $m$ is mass, and $C$ is concentration), we get $V=\frac{363.5\ \text{mg}}{10.0\ \text{mg/mL}} = 36.35\ \text{mL}\approx36\ \text{mL}$.

Answer:

79.5 s

Question 2