2013年1月9日以来,全国中东部地区17省市持续雾霾,陷入大范围的重度和严重污染.为减少空气污染,要求工厂产生的废气必须经过过滤后进行排放.已知某工厂废气过滤过程中,废气的污染物数量Pmg/L与时间t h间的关系式为:P=P 0 e -kt (e为自然对数的底数).如果在前5个小时消除了l0%的污染物,试求: (1)k的值; (2)污染物减少50%需要花多少时间?(精确到1h,参考数据:ln2=0.6931,ln3=1.0986,ln5=1.6094)
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