Answer:
11552.45 years
Explanation:
Given that:
Half life = 5730 years
Where, k is rate constant
So,
The rate constant, k = 0.00012 years⁻¹
Using integrated rate law for first order kinetics as:
Where,
is the concentration at time t
is the initial concentration
Given that:
The rate constant, k = 0.00012 years⁻¹
Initial concentration
= 160.0 counts/min
Final concentration
= 40.0 counts/min
Time = ?
Applying in the above equation, we get that:-

Answer: The final temperature will be 
Explanation:
To calculate the specific heat of substance during the reaction.

where,
q = heat absorbed =41840 J
c = specific heat = 
m = mass of water = 200 g
= final temperature =?
= initial temperature = 
Now put all the given values in the above formula, we get:


Thus the final temperature will be 