I was given the below function to describe the half life radioactive decay: N(t)=N0e-kt Where N(t) represents the amount of parent isotope remaining at any time t, N0 is the amount of parent isotope present at time zero (0), and k is the rate constant for a first order reaction such as half-life. Similarly, I was given another function: P(t)=N(t)/N0  P(t) represents the quantity of % remaining at any time t. I was told that P(t) was 0.5 and was asked to calculate the half-life of potassium using both P(t) and N(t) above, however I was not given the rate constant. How would I go about this problem?

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I was given the below function to describe the half life radioactive decay:

N(t)=N0e-kt

Where N(t) represents the amount of parent isotope remaining at any time t, N0 is the amount of parent isotope present at time zero (0), and k is the rate constant for a first order reaction such as half-life.

Similarly, I was given another function:

P(t)=N(t)/N0 

P(t) represents the quantity of % remaining at any time t. I was told that P(t) was 0.5 and was asked to calculate the half-life of potassium using both P(t) and N(t) above, however I was not given the rate constant. How would I go about this problem? 

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