Of much concern to environmentalists is radon-222, which is a radioactive noble gas that

Chapter 0, Problem C1.12

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Of much concern to environmentalists is radon-222, which is a radioactive noble gas that can seep from the ground into basements of homes and buildings. Radon-222 is a product of the decay of radium-226 that occurs naturally in rocks and soil in much of the United States. Radon-222, which has a half-life of 3.8 days, decays by emitting an alpha particle. Radon-222, which is a gas, can be inhaled into the lungs where it is strongly associated with lung cancer. Radon levels in a home can be measured with a home radon-detection kit. Environmental agencies have set the maximum level of radon-222 in a home at 4 picocuries per liter 1pCi>L2 of air. 15.2, 5.3, 5.42 a. Write the balanced nuclear equation for the decay of Ra-226. b. Write the balanced nuclear equation for the decay of Rn-222. c. If a room contains 24 000 atoms of radon-222, how many atoms of radon-222 remain after 15.2 days? d. Suppose a room has a volume of 72 000 L 17.2 * 104 L2. If the radon level is the maximum allowed 14 pCi>L2, how many alpha particles are emitted from Rn-222 in 1 day? 11 Ci = 3.7 * 1010 disintegrations>s2

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