Open Question
A gastrointestinal tract X-ray exposes a patient to 5000 microSv of radiation. For X-rays, (1 Sv = 1 Gy), how many joules are absorbed by a 60-kg person?
Ch.20 - Nuclear Chemistry
Chapter 20, Problem 111
Determine the activity of 10.0 mg of ²²⁶Ra in units of Bq and Ci. The half-life of ²²⁶Ra is 1600 years.
Verified step by step guidance1
Step 1: Convert the mass of ²²⁶Ra from milligrams to grams. Since 1 mg = 0.001 g, multiply 10.0 mg by 0.001 to get the mass in grams.
Step 2: Calculate the number of moles of ²²⁶Ra using its molar mass. The molar mass of ²²⁶Ra is approximately 226 g/mol. Use the formula: moles = mass (g) / molar mass (g/mol).
Step 3: Determine the number of atoms of ²²⁶Ra using Avogadro's number, which is 6.022 x 10²³ atoms/mol. Multiply the number of moles by Avogadro's number to find the total number of atoms.
Step 4: Calculate the decay constant (λ) using the half-life formula: λ = ln(2) / half-life. Convert the half-life from years to seconds (1 year = 3.156 x 10⁷ seconds) before using it in the formula.
Step 5: Determine the activity (A) in becquerels (Bq) using the formula: A = λN, where N is the number of atoms. To convert the activity from Bq to curies (Ci), use the conversion factor: 1 Ci = 3.7 x 10¹⁰ Bq.
Related Practice
Textbook Question
A 255-gram laboratory rat is exposed to 23.2 rads. How many grays did the rat receive? How many joules were absorbed by the rat?
316
views
Textbook Question
The maximum level of radon in drinking water is 4.0 pCi (4.0 x 10^-12Ci) per milliliter.
(a) How many disintegrations occur per minute in 1 mL of water at the maximum radon level?
(b) If the radioactive isotope is 222Rn(t1/2 = 3.8 days), how many 222Rn atoms are present in 1 mL of the water?
276
views
Textbook Question
Nitrogen-16 is formed in the cooling water flowing through a hot reactor core in a nuclear power plant. It is formed when oxygen captures a neutron and then emits a b par-ticle. Determine the activity of 50.0 mg of 16N in units of Bq and Ci.
1223
views
Open Question
The maximum allowable radiation dose for recovery workers at the Fukushima nuclear plant in Japan was set to 100 mSv. A gastrointestinal (GI) tract X-ray is 5 mSv. The radiation exposure of a Fukushima worker is equivalent to how many GI tract X-rays?
Textbook Question
A proposed nuclear theory suggests that the relative abun-dances of the uranium isotopes 235U and 238U were approximately equal at the time they were formed. Today, the observed ratio of these isotopes is 7.25 x 10^-3. Give that the half-lives for radioactive decay are 7.04 x 19^8 are y for and 4.47 x 10^9 y for , calculate the age of the elements.
306
views