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1926年美国波士顿的内科医生卢姆加特等首次应用放射性氡研究人体动、静脉血管床之间的循环时间,被誉为“临床核医学之父”.氡的放射性同位素有27种,其中最常用的是 86222 Rn, 86222 Rn经过x次α衰变和y次β衰变后变成稳定的 82206 P.(1u=931.5MeV)
①求x、y的值;
②一个静止的氡核( 86222 Rn)放出一个α粒子后变成钋核( 84218 Po),已知质量亏损△m=0.0002u,若释放的核能全部转化为钋核和α粒子的动能,试写出该衰变方程,并求出α粒子的动能.
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解:①核反应过程质量数与核电荷数守恒,由题意可得:

4x=222﹣206,

得:x=4

86=82+2x﹣y

得:y=4

②根据质量数守恒与电荷数守恒可知,衰变方程为:

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