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brilliants [131]
3 years ago
6

Carbon-14 emits beta radiation and decays with a half-life (t ) of 5730 years. Assume that you start with a mass of 6.00 × 10^–1

2 g of carbon 14. How many grams of the isotope remains at the end of three half-lives?
Chemistry
2 answers:
ludmilkaskok [199]3 years ago
8 0

Answer:

did you ever find the answer

Explanation:

andrey2020 [161]3 years ago
4 0

Answer: 0.75\times 10^{-12}

Explanation:

Formula used :

a=\frac{a_o}{2^n}

where,

a = amount of reactant left after n-half lives = ?

a_o = Initial amount of the reactant = 6\times 10^{-12} g

n = number of half lives = 3

Putting values in above equation, we get:

a=\frac{6\times 10^{-12} }{2^3}

a=\frac{6\times 10^{-12} }{8}

a=0.75\times 10^{-12}

Therefore, the amount of carbon-14 left after 3 half lives will be 0.75\times 10^{-12}g

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The rate constant for a certain reaction is measured at two different temperatures:
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Answer: The activation energy Ea for this reaction is 22689.8 J/mol

Explanation:

According to Arrhenius equation with change in temperature, the formula is as follows.

ln \frac{k_{2}}{k_{1}} = \frac{-E_{a}}{R}[\frac{1}{T_{2}} - \frac{1}{T_{1}}]

k_1 = rate constant at temperature T_1 = 2.3\times 10^8

k_2 = rate constant at temperature T_2 = 4.8\times 10^8

E_a= activation energy = ?

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T_1 = temperature = 280.0^0C=(273+280)=553K

T_2 = temperature = 376.0^0C=(273+376)=649K

Putting in the values ::

ln \frac{4.8\times 10^8}{2.3\times 10^8} = \frac{-E_{a}}{8.314}[\frac{1}{649} - \frac{1}{553}]

E_a=22689.8J/mol

The activation energy Ea for this reaction is 22689.8 J/mol

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