问题 计算题

已知1molCaCO3分解需要吸收178kJ 热量,1mol焦炭完全燃烧放出393.5kJ ,试回答下列问题

(1)写出碳酸钙分解的热化学反应方程式              

(2)试计算如果0.5t CaCO3煅烧成CaO(s),在理论上要用焦炭多少千克

答案

(5分)(1)CaCO3(s)=" CaO(s)+" CO2(g),△H="+178kJ/mol" (2)27.14kg

题目分析:(1)1molCaCO3分解需要吸收178kJ 热量,则该反应的热化学方程式是CaCO3(s)= CaO(s)+CO2(g),△H=+178kJ/mol。

(2)0.5t CaCO3的物质的量是500000g÷100g/mol=5000mol

实验需要吸收的能量是5000mol×178kJ/mol=890000kJ

因此理论上要用焦炭的物质的量是890000÷393.5=2261.8mol

质量是2261.8mol×12g/mol=27141g=27.14kg

点评:该题是基础性试题的考查,也是高考中的常见题型和考点。试题基础性强,侧重对学生基础性知识的巩固与训练,有利于培养学生的逻辑推理能力,提高学生分析问题、解决问题的能力,也有助于培养学生的规范答题能力。

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