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question 37 multiple choice worth 2 points gt.02the diagram below shows the processes which created life on earth. formation of non - living molecules →? → organization of molecules into living structures. which of these labels best fits the empty cell in the diagram? creation of living virus molecules from plants splitting up of molecules to form simple structures reaction between non - living and living molecules combining of molecules to form complex structures question 38 multiple choice worth 2 points gt.02carbon - 14 has a half - life of 5,730 years. in how many years will 120 grams of carbon - 14 decay to 15 grams?
Question 37
The process of life - creation involves the formation of non - living molecules first, then they combine to form complex structures before organizing into living structures. The other options do not fit the logical sequence of life - origin processes.
Step1: Determine the number of half - lives
Use the formula $N = N_0(\frac{1}{2})^n$, where $N$ is the final amount, $N_0$ is the initial amount, and $n$ is the number of half - lives. Given $N_0 = 120$ grams, $N = 15$ grams. So, $15=120(\frac{1}{2})^n$. Then $\frac{15}{120}=(\frac{1}{2})^n$, and $\frac{1}{8}=(\frac{1}{2})^n$. Since $\frac{1}{8}=(\frac{1}{2})^3$, $n = 3$.
Step2: Calculate the total time
The half - life of Carbon - 14 is $t_{1/2}=5730$ years. The total time $t=n\times t_{1/2}$. Substitute $n = 3$ and $t_{1/2}=5730$ years into the formula, we get $t = 3\times5730=17190$ years.
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Combining of molecules to form complex structures