+10

6 months ago

Mathematics

High School

The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins

2ⁿ = N₀ / N

2ⁿ = 110 / 18

2ⁿ = 55/9

Take the log of both side

Log 2ⁿ = Log (55/9)

nLog 2 = Log (55/9)

Divide both side by Log 2

n = Log (55/9) ÷ Log 2

n = 2.61

t = n × t½

t = 2.61 × 10

t = 26.1 mins

Learn more about half life:

https://brainacademy.pro/question/26374513

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The

time takento the nearest tenth for the element X to decay from 110 g to 18 g is26.1 mins## How to determine the number of half-lives

Number of half-lives (n) =?2ⁿ = N₀ / N

2ⁿ = 110 / 18

2ⁿ = 55/9

Take the log of both side

Log 2ⁿ = Log (55/9)

nLog 2 = Log (55/9)

Divide both side by Log 2

n = Log (55/9) ÷ Log 2

n = 2.61## How to determine the time

Time (t) =?t = n × t½

t = 2.61 × 10

t = 26.1 minsLearn more about

half life:https://brainacademy.pro/question/26374513