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Nutka1998 [239]
3 years ago
10

A mammoth skeleton has a carbon-14 decay rate of 0.49 disintegrations per minute per gram of carbon (0.49 dis/min⋅gC ). You may

want to reference (Pages 950 - 955) section 20.6 while completing this problem. Part A When did the mammoth live? (Assume that living organisms have a carbon-14 decay rate of 15.3 dis/min⋅gC and that carbon-14 has a half-life of 5715 yr.)
Chemistry
1 answer:
jenyasd209 [6]3 years ago
7 0

Answer:

t = 28379.5 years

Explanation:

<u>To find when did the mammoth live, we need to use the exponential decay equation</u>:          

\frac{N_{t}}{N_{0}}= \frac{1}{2}^ \frac{t}{t_{1/2}}  

<em />

<em>where, </em><em>N(t)/N(0): ratio decay rate, t: time to find, t(1/2): half-life</em><em> </em>

   

\frac{0.49}{15.3} = \frac{1}{2}^ \frac{t}{5715}  

Log(0.032) = \frac{t}{5715} \cdot Log(0.5)

t= \frac {5715 \cdot Log(0.032)}{Log(0.5)}  

t= 28379.5 years

Have a nice day!                

     

     

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45.8 g NaCl *\frac{100g ocean water}{3.5g NaCl}

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If the K a Ka of a monoprotic weak acid is 7.3 × 10 − 6 , 7.3×10−6, what is the pH pH of a 0.40 M 0.40 M solution of this acid?
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The pH is the negative log of the H₃O⁺ concentration, we know the equilibrium constant, Ka and the original acid concentration. So we will need to find the [H₃O⁺] to solve this question.

In order to do that lets set up the ICE table helper which accounts for the species at equilibrium:

                          HA                                   H₃O⁺                          A⁻          

Initial, M             0.40                                   0                              0

Change , M          -x                                     +x                            +x

Equilibrium, M    0.40 - x                              x                               x

Lets express these concentrations in terms of the equilibrium constant:

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[H₃O⁺] = 1.71 x 10⁻³

Indeed 1.71 x 10⁻³ is small compared to 0.40 (0.4 %). To be a good approximation our value should be less or equal to 5 %.

pH = - log ( 1.71 x 10⁻³ ) = 3.8

Note: when the aprroximation is greater than 5 % we will need to solve the resulting quadratic equation.

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Answer:

Please refer to the attachment below for answer and explanation.

Explanation:

Please refer to the attachment below for answer and explanation.

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