Answer:
a) a0 was 46.2 grams
b) It will take 259 years
c) The fossil is 1845 years old
Explanation:
<em>An unknown radioactive substance has a half-life of 3.20hours . If 46.2g of the substance is currently present, what mass A0 was present 8.00 hours ago?</em>
A = A0 * (1/2)^(t/h)
⇒ with A = the final amount = 46.2 grams
⇒ A0 = the original amount
⇒ t = time = 8 hours
⇒ h = half-life time = 3.2 hours
46.2 = Ao*(1/2)^(8/3.2)
Ao = 261.35 grams
<em>Americium-241 is used in some smoke detectors. It is an alpha emitter with a half-life of 432 years. How long will it take in years for 34.0% of an Am-241 sample to decay?</em>
t = (ln(0.66))-0.693) * 432 = 259 years
It will take 259 years
<em>A fossil was analyzed and determined to have a carbon-14 level that is 80% that of living organisms. The half-life of C-14 is 5730 years. How old is the fossil?</em>
<em />
t = (ln(0.80))-0.693) * 5730 = 1845
The fossil is 1845 years old
Answer:
Bowling ball
Explanation:
They are traveling at the same speed, but the bowling ball has more mass. The bowling ball has more kinetic energy because more force is needed to stop the rolling bowling ball. Two balls with different masses moving at the same speed have different amounts of kinetic energy.
29.26 gram
Explanation:
No of molecules = no of mole × Avogadro's number
No of molecules = mass in gram/ molar mass × Avogadros number
Mass in gram =No of molecules×molar mass / Avogadros number
Mass in gram = 3.012 ×10^23 × 58.5/6.02×10^23
29.26 gram