How many grams of californium-254 will remain after 363 days if we
start with 64.0 grams of this substance? The half-life of californium-254
is 60.5 days.

1.02 g OF CALIFORNIUM-254 WILL REMAIN AFTER 363 DAYS IF 64 g REACTS WITH HALF LIFE OF 60.5 DAYS.

Explanation:

Half life of a chemical reaction is the time required for a radioactive element to decay to half its original mass.

We will use the formula:

                                    Nt = No (1/2)^t/t1/2                                            where;

Nt = quantity of substance remaining = unknown

No = original mass of the substance = 64 g

t = time elapsed = 363 days

t1/2 = half life of the substance = 60.5 days

Putting the values into the equation, we have:

Nt = 64 * (1/2)^(363/60.5)

Nt = 64 * (1/2) ^6

Nt = 64 * 0.015625

Nt = 1.0156

The amount of californium-254 remaining after 363 days is approximately 1.02 g

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