Question

Find the mass of (²³⁹Pu) that has an activity of 1.00 μCi.

(a) (2.7 × 10⁻¹⁰) g
(b) (1.5 × 10⁻⁹) g
(c) (3.2 × 10⁻¹⁰) g
(d) (5.0 × 10⁻¹⁰) g

Answer 1

The mass of plutonium-239 with an activity of 1.00 µCi cannot be determined without the decay constant of ²³⁹Pu, which is essential for calculating the mass from the given activity. Thus, none of the provided options can be accurately confirmed.

Step-by-step explanation:

The mass of plutonium-239 (²³⁹Pu) with an activity of 1.00 µCi can be found by using the decay law, which relates the mass of a radioactive substance to its activity. The decay constant (λ) of ²³⁹Pu and the relationship between curies and decays per second (where 1 Ci = 3.7 × 10±° decays/s) must be known to solve this problem precisely.

However, based on the reference information provided, none of the options can be confirmed as the correct answer without the necessary decay constant for ²³⁹Pu or additional context. Therefore, we cannot confidently select any of the given answer choices (a, b, c, or d) without this essential information.