A radioactive sample's half$-$life is $64\mathrm{.}8$ days. $1$ day $=24$ hours, $1$ hour $=60$ min, $1$min $=60$ s

Part A

What is the decay constant in day$-1?$

Keep $4$ digits after the decimal point.

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$=$

nothing

day$1$day$1$

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Part B

What is the decay constant in s$-1?$

Use scientific notations, format $1\mathrm{.}234*10$n$.$

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$=$

nothing

s$1$s$1$

$$

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The initial sample is $5\mathrm{.}0$ kgkg $.$ Some time after the initial sample was prepared, it was found that $0\mathrm{.}5072$ kgkg of the radioactive material has decayed.

Part C $-$ What is the mass of the radioactive material that remains in the sample?

Keep $3$ digits after the decimal point.

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mass remains $=$

nothing

kgkg

$$

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Part D $-$ Find the time for Part C$,$ in days.

Keep $2$ digits after the decimal point.

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t $=$

nothing

daysdays

$$

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New case: Another sample

Part E $-$ New case: To have an initial activity of R$0$R$0=10275\mathrm{.}78$ BqBq $($decays$/$s$),$ what is the number of radioactive nuclei in the initial sample?

Use scientific notations, $1\mathrm{.}234*10$n

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N$0$N$0=$

nothing

$$

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Part F $-$ New case: After $10\mathrm{.}0$ daysdays what is the activity in decays$/$s $($Bq$)?$

Keep $2$ digits after the decimal point.

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RR $=$

nothing

BqBq

$$

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Part G $-$ New case: same sample as in Part E and F$.$ How many days does it take for the activity to reach $8296\mathrm{.}68$ BqBq $?$

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tnewtnew $=$

nothing

daysdays$$