In the 1970s, when lead was widely used in "ethyl" gasoline, the blood level of the average American contained 0.25 ppm lead. The danger level of lead poisoning is 0.80 ppm. (a) What percent of the average person was lead? (b) How much lead would be in an average 80 kg person? Give your answer in grams. (c) What percent of the average person would be lead if they had reached the danger level? (d) How much lead would the average person need to accumulate to reach the danger level? Give your answer in grams. (e) How much more lead would the average person need to accumulate to reach the danger level? Give your answer in grams.

a) Well, it seems like the average person in the 1970s was quite "led" astray! To calculate the percentage of lead, we'll divide the blood level of lead by the total blood volume and multiply by 100. So, (0.25 ppm / 1,000,000 ppm) * 100 = 0.000025%. That's a tiny, but still not advisable, amount of lead.

b) Time to weigh in! If the average person weighs 80 kg, and their blood contains 0.25 ppm lead, we'll start by calculating the total amount of blood in their body, which is around 7% of their body weight. That's 80 kg * 7% = 5.6 kg of blood. To find grams, we multiply by 1000, so 5.6 kg * 1000 g/kg = 5600 grams. Finally, we calculate how much lead is in the person's blood, which would be 0.25 ppm * 5600 g = 1.4 grams of lead. So, they had a little lead in their pencil!

c) If we're talking about reaching the danger level of 0.80 ppm, that's much higher than the average lead level of 0.25 ppm. Let's do the math again: (0.80 ppm / 1,000,000 ppm) * 100 = 0.00008%. That's quite a jump!

d) Now, let's figure out how much lead the average person would need to accumulate to reach the danger level of 0.80 ppm in their blood. If the average person has 5600 grams of blood, we can calculate: 0.80 ppm * 5600 g = 4.48 grams of lead. That's enough to make your blood run a little heavy metal!

e) To find out how much more lead the average person would need to accumulate to reach the danger level, we subtract the current amount of lead (1.4 grams) from the amount needed to reach the danger level (4.48 grams). So, 4.48 grams - 1.4 grams = 3.08 grams of lead. That's quite a chunk of lead yet to collect! But remember, accumulating more lead is definitely not the goal here.

Stay safe and lead a clown-free life!

To answer these questions, we will use the given information and follow a step-by-step approach:

(a) To find the percentage of lead in the average person, we need to divide the concentration of lead by the total blood volume and multiply by 100.

Given:
- Concentration of lead in the average American blood = 0.25 ppm (parts per million)
- Danger level of lead poisoning = 0.80 ppm

To find the percentage of lead in the average person, divide the concentration of lead by the danger level and multiply by 100:

Percentage of lead = (0.25 ppm / 0.80 ppm) * 100

(b) To find how much lead would be in an average 80 kg person, we need to multiply the lead concentration by the blood volume.

Given:
- Weight of an average person = 80 kg
- Concentration of lead in the average American blood = 0.25 ppm (parts per million)

To find the amount of lead in grams, we need to convert the weight from kilograms to grams. Then we can calculate the amount of lead:

Amount of lead = (Concentration of lead) * (Weight of the person)

(c) To find the percentage of lead in the average person if they had reached the danger level, we use the same formula as in part (a) but substitute the concentration of lead with the danger level:

Percentage of lead = (0.80 ppm / 0.80 ppm) * 100

(d) To find how much lead the average person would need to accumulate to reach the danger level, we subtract the current lead concentration from the danger level. We can use the same formula as in part (b):

Amount of lead = (Danger level of lead - Current lead concentration) * (Weight of the person)

(e) To find how much more lead the average person would need to accumulate to reach the danger level, we subtract the current lead concentration from the danger level:

Additional amount of lead = Danger level of lead - Current lead concentration

Let's now calculate the answers step by step.

0.001

.25

A) .000025%

B) .02g