Skip to main content
Ch.21 - Nuclear Chemistry
Chapter 21, Problem 34

It has been suggested that strontium-90 (generated by nuclear testing) deposited in the hot desert will undergo radioactive decay more rapidly because it will be exposed to much higher average temperatures. (a) Is this a reasonable suggestion? (Section 14.5) (b) Does the process of radioactive decay have an activation energy, like the Arrhenius behavior of many chemical reactions (Section 14.5)?

Verified step by step guidance
1
Step 1: Understand the nature of radioactive decay. Radioactive decay is a nuclear process where an unstable atomic nucleus loses energy by emitting radiation. This process is not influenced by external factors such as temperature, pressure, or chemical state.
Step 2: Consider the suggestion that higher temperatures might affect the rate of radioactive decay. In chemical reactions, higher temperatures can increase reaction rates due to increased molecular motion and collision frequency. However, radioactive decay is a nuclear process, not a chemical one.
Step 3: Evaluate the concept of activation energy in the context of radioactive decay. Activation energy is a term used in chemical kinetics to describe the minimum energy required for a reaction to occur. Radioactive decay does not require activation energy because it is a spontaneous process governed by the stability of the nucleus.
Step 4: Compare radioactive decay to chemical reactions. Chemical reactions often follow the Arrhenius equation, which shows that reaction rates increase with temperature due to activation energy. Radioactive decay, however, is not affected by temperature changes because it does not involve breaking or forming chemical bonds.
Step 5: Conclude whether the suggestion is reasonable. Given that radioactive decay is a nuclear process unaffected by temperature, the suggestion that strontium-90 will decay more rapidly in a hot desert due to higher temperatures is not reasonable. The decay rate is determined by the isotope's half-life, which is constant regardless of environmental conditions.
Related Practice
Open Question
Write balanced equations for (a) 238922U + 1n -> 224194Pu. (b) 147N + 1a -> 1p + 178O. (c) 5626Fe + 1a -> 1b + 6029Cu.
Open Question
Write balanced equations for each of the following nuclear reactions: (a) 23892U + 10n → g + 23992U. (b) 168O + 11p → a + 179N. (c) 188O + 10n → b- + 199F.
Textbook Question
Each statement that follows refers to a comparison between two radioisotopes, A and X. Indicate whether each of the following statements is true or false. (a) If the half-life for A is shorter than the half-life for X, A has a larger decay rate constant.
333
views
Textbook Question

Some watch dials are coated with a phosphor, like ZnS, and a polymer in which some of the 1H atoms have been replaced by 3H atoms, tritium. The phosphor emits light when struck by the beta particle from the tritium decay, causing the dials to glow in the dark. The half-life of tritium is 12.3 yr. If the light given off is assumed to be directly proportional to the amount of tritium, by how much will a dial be dimmed in a watch that is 50 yr old?

940
views
Textbook Question

It takes 4 h 39 min for a 2.00-mg sample of radium-230 to decay to 0.25 mg. What is the half-life of radium-230?

552
views
Textbook Question

Cobalt-60 is a strong gamma emitter that has a half-life of 5.26 yr. The cobalt-60 in a radiotherapy unit must be replaced when its radioactivity falls to 75% of the original sample. If an original sample was purchased in June 2016, when will it be necessary to replace the cobalt-60?

2317
views