I need #2 and #3 done Carbon-14 has a half-life of 5730 years. Carbon-14 enters

Question

I need #2 and #3 done Carbon-14 has a half-life of 5730 years. Carbon-14 enters all living tissues through carbon dioxide. As long as the organism is alive, the carbon-14 remains. As soon as the organism dies, the carbon-14 begins to decay. If 1000 milligrams of carbon-14 are present in the tissue of an animal that just died, how many milligrams will be left in 10.000 years? Round to the nearest whole. If one earthquake releases 1024 times the energy of another earthquake, what is the difference in their Richter scale magnitudes? Determine of the lengths of the two missing sides. Round answers to the nearest tenth.

Explanation / Answer

half life= 5730 years

for first order reaction, rate constant, K= 0.693/half life= 0.693/5730 =0.000121/yr

for first oder reaction

lnCA= lnCAO-Kt

where CA= Concentration at any time

CAO= 1000mg

lnCA= ln(1000)-0.000121*10000

CA= 298.4 mg

b) the relation between energy and ritcher scale is

log10E = 4.4 + 1.5M

logE1= 4.4+1.5M1 (1)

logE2= 4.4+1.5M2 (2)

given E1/E2=1024

subtracting Eq.1 and Eq.2 gives

log(E1/E2)= 1.5(M1-M2)

=log(1024)= 1.5(M1-M2)

M1-M2 = 2

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