受中子轰击时会发生裂变,产生和,同时放出能量.已知每个铀核裂

受中子轰击时会发生裂变,产生,同时放出能量.已知每个铀核裂变释放的平均能量为200 MeV.

(1)写出核反应方程;

(2)现在要建设发电功率为5×105 kW的核电站,用235U作核燃料,假设核裂变释放的能量一半转化为电能,那么该核电站一天消耗235U多少千克?(阿伏加德罗常数取6.0×1023 mol-1)

答案

(1) +++3+200 MeV        (2)1.06 kg


解析:

(1)核反应方程+++3+200 MeV.                           (2分)

(2)电站一天发出的电能E1=Pt                                                                          ①(2分)

设每天消耗m kg,核裂变释放的能量为

E2=m×103×6.0×1023×200×106×1.6×10-19/235                                         ②(2分)

由能量转化得E1=ηE2                                                                                     ③(2分)

由①②③式得m=1.06 kg.                                                                                   (2分)

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