To jest proste, ale nie jest to możliwe.

Basic Decay Equation

Te decay of a radioactive substance follows an expresential law. The number of repling radioactive atoms at time t can be expressed as:

(1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1): (2); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1): (5); (1); (1); (1): (5); (3); (3); (3); (3); (1); (1); (1); (1) (1) (1) (5) (5) (5) (5) (5) (3; (3) (5) (4) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (((5) ((5) ((5) (5) (5) (5) (5) (

Where N 'ims 1; Xi1; FLT: 0' imbil 3; Xi3; Xi1; FLT: 1 'imbir3; Xi3; is the initiatial number of atoms, λ is the decay constant, and t is time.

Calculating Half- Life

Thee half-life (T is 1; Xi1; FLT: 0 supporte3; Xi3; 1 / 2 supporte1; Xi1; FLT: 1 supporte3; Xi3;) is the time when N (t) equals half of N gip1; Xip1; FLT: 2 supporte3; Xip1; 0 supporte1; FLT: 3 supporteres3; Xipteres3; X3; Xiptes3; / 2 in thee decay equation gives:

(1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (5); (3); (3); (1); (1); (1); (1); (1); (1); (1) (1) (1); (1) (5) (5); (5); (3; (3) (1) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) ((5) ((5) ((5) (4) (5) (5) (5

Taking thee natural logarytm of both boks results in:

(1 / 2) = -λT (1 / 1); (1 / 1); (1 / 1); (1 / 1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1) (1); (1) (1) (1) (1) (1) (

Since ln (1 / 2) = -0,693, thee formula for half-life becomes:

(1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (2); (2); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3); (4); (4); (4); (4) (5); (5); (5) (5); (5) (5); (5); (5); (5) (5); (5) (5); (5) (5) (5); (5) (5); (5); (5); (5); (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (

Determining thee Decay Constant

Te decay constant λ can be found if thee half-life is known, or it cat be calculated frem experimental data. If te decay constant is unknown, it cat be derived frem measurements of activity or equiling atoms over time.

Once λ is known, calculating thee half-life is profulforward using thee formula above.