A simple of radium weight 1000g. How long will it take to decay to 125g if its half life is 1620 years??
Solve the problem in physics
125 = 1000 * 1/8
1/8 = (1/2)^3, or 3 half-lives
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A simple of radium weighs 1000g.how long will it take to decay to 125g if its half-life is 1620 years
A simple of radium weighs 1000g. How long will it take to decay to 125g if its half-life is 1620 years
Solve
the problem in physics
Determine the mass defect and binding energy in joules of 7/3 Li.
Solve it
To find out how long it will take for the mass of radium to decay from 1000g to 125g, given a half-life of 1620 years, we can use the concept of exponential decay.
The formula for calculating the remaining mass of a substance after a certain amount of time is given by:
Mass_remaining = Initial_mass * (1/2)^(time_passed / half-life)
In this case, the initial mass is 1000g, the remaining mass is 125g, and the half-life is 1620 years. We need to find the time_passed.
We can rearrange the formula to solve for time_passed:
(time_passed / half-life) = ln(Mass_remaining / Initial_mass) / ln(1/2)
where ln denotes the natural logarithm.
Using the values given, we can substitute them into the equation:
(time_passed / 1620) = ln(125 / 1000) / ln(1/2)
Now we can calculate the time_passed:
time_passed = 1620 * (ln(125 / 1000) / ln(1/2))
Using a scientific calculator or a programming language that supports logarithmic functions, we can evaluate this expression to find the value of time_passed.
Please note that this is a simplified model and does not account for other factors that may affect the decay of radium, such as temperature or environmental conditions.