Solve question 19: Wooden article and freshly cut tree show activity of 7 6 and and 15 2 - Chemistry - Chemical Kinetics and Nuclear Chemistry

Question

Solve question 19:

Wooden article and freshly cut tree show activity of 7 6 and and 15
2 min-1 gm-1 of carbon (t1/2= 5760
years) respectively The age of article in years, is
â€‹

A   5760              
  B   5760   × 15 2 7 6      
          C   5760   × 7 6
15 2                  
  D     5760   ×   15 2 - 7 6

Rati Singh · Accepted Answer

Dear student

1) Determine decimal fraction of C-14 remaining: 7 6 / 15 2 = 0
5

2) Determine how many half-lives have elapsed:
(1/2)n = 0 5
n log 0 5 = log 0 5
n = 1

3) Determine the length of time elapsed: 
5760 year * 1 = 5760 yr

So the correct option is A

Regards

Solve question 19: Wooden article and freshly cut tree show activity of 7.6 and and 15.2 min-1 gm-1 of carbon (t1/2= 5760 years) respectively. The age of article in years, is ​ A 5760 B 5760 × 15 . 2 7 . 6 C 5760 × 7 . 6 15 . 2 D 5760 × 15 . 2 - 7 . 6

Solve question 19:

Wooden article and freshly cut tree show activity of 7.6 and and 15.2 min^-1 gm^-1 of carbon (t_1/2= 5760 years) respectively. The age of article in years, is

$(A) 5760 (B) 5760 \times (\frac{15.2}{7.6}) (C) 5760 \times (\frac{7.6}{15.2}) (D) 5760 \times (15.2 - 7.6)$