四、(15分)在一连续精馏塔内分离某理想二元混合物。已知进料量为100 kmol/h,进料组成为0.5(易挥发组分的摩尔分率,下同),泡点进料;釜残液组成为0.05;塔顶采用全凝器;精馏段操作线方程为 。试计算塔顶轻组分的收率

答: <img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/1510881810652f2d7e5bda7d940d2a139b050f0e9f0a5image30.png"><img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/15108818107452e77572d7e7d44a38f885439bf7f79d8image31.png"> <img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/15108818108748d3e4abad50b4e09a9fd31c8dd8b4b46image32.png">&nbsp; <img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/15108818109608cba1e2b520d4c0098b7da53bad8f59fimage33.png"> ……5分<br>再计算馏出液流量 <img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/15108818110460c3f166f708240b7a7b81430c2f78e3fimage34.png">,由总物料衡算方程可得<br><img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/1510881811134bc61b8148ed5438eab220b71b8b6e9aaimage35.png">&nbsp;kmol/h ……5分<br>故 <img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/1510881811231d4f8e1e9e8e04f58be44dce907843533image36.png"> ……5分