Roboguru

Jika inti radioaktif memiliki aktivitas , berapakah waktu paruhnya?

Jika  size 14px 3 size 14px cross times size 14px 10 to the power of size 14px minus size 14px 9 end exponent size 14px space size 14px kg size 14px space inti radioaktif  begin mathsize 14px style Au presubscript 79 presuperscript 200 end style  memiliki aktivitas begin mathsize 14px style 58 comma 9 space Ci end style , berapakah waktu paruhnya?

Jawaban:

Aktivitas:

begin mathsize 14px style straight A equals space 58 comma 9 space Ci space equals 58 comma 9 space cross times 2 comma 70 cross times 10 to the power of 10 space end exponent kejadian divided by straight s straight A equals 159 comma 03 cross times 10 to the power of 10 space end exponent kejadian divided by straight s end style 

 

Massa sebuah atom hampir sama dengan nomor massanya dinyatakan dalam satuan massa atomik, sehingga banyaknya atam dalam size 14px 3 size 14px cross times size 14px 10 to the power of size 14px minus size 14px 9 end exponent size 14px space size 14px kg size 14px space begin mathsize 14px style Au presubscript 79 presuperscript 200 end style adalah:

begin mathsize 14px style N equals fraction numerator 3 cross times 10 to the power of negative 9 end exponent space kg over denominator 200 space straight u space cross times open parentheses 1 comma 66 cross times 10 to the power of negative 27 end exponent space kg divided by straight u close parentheses end fraction N equals space 9 comma 033 cross times 10 to the power of 15 space atom end style  

Jadi:

begin mathsize 14px style A equals lambda N lambda equals A over N lambda equals fraction numerator 159 comma 03 cross times 10 to the power of 10 space kejadian divided by straight s over denominator 9 comma 04 cross times 10 to the power of 15 space atom end fraction lambda equals 17 comma 59 space straight s to the power of negative 1 end exponent end style 

 Waktu Paruh:

T subscript bevelled 1 half end subscript equals fraction numerator 0 comma 693 over denominator lambda end fraction T subscript bevelled 1 half end subscript equals fraction numerator 0 comma 693 over denominator 17 comma 59 cross times 10 to the power of negative 5 end exponent s to the power of negative 1 end exponent end fraction T subscript bevelled 1 half end subscript equals 3.939 space straight s T subscript bevelled 1 half end subscript equals space 1 space jam space 5 space menit   

Jadi, waktu paruhnya  adalah   bold italic T subscript bevelled bold 1 over bold 2 end subscript bold equals bold space bold 1 bold space bold jam bold space bold 5 bold space bold menit .  

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