题目
2.画出下列各对竞聚率的共聚物组成曲线。当 _(1)=0.5 时,在低转化率阶段的F2是-|||-多少?-|||-体系 1 2 3 4 5 6 7 8 9-|||-rì 0.1 0.1 0.1 0.5 0.2 0.8 0.2 0.2 0.2-|||-r2 0.1 1 10 0.5 0.2 0.8 0.8 5 10

题目解答
答案

解析
步骤 1:理解共聚物组成曲线
共聚物组成曲线是根据单体的竞聚率(r1和r2)来绘制的,它显示了在不同转化率下共聚物中两种单体的组成比例。当${f}_{1}=0.5$时,意味着两种单体的初始浓度相等,即${f}_{1}={f}_{2}=0.5$。
步骤 2:计算F2值
根据题目要求,当${f}_{1}=0.5$时,我们需要计算在低转化率阶段的F2值。F2是共聚物中单体2的摩尔分数,可以通过以下公式计算:
\[ F_2 = \frac{r_2 + f_2}{r_1 + r_2 + f_1 + f_2} \]
由于${f}_{1}={f}_{2}=0.5$,公式可以简化为:
\[ F_2 = \frac{r_2 + 0.5}{r_1 + r_2 + 1} \]
步骤 3:计算各体系的F2值
根据给定的r1和r2值,我们可以计算出每个体系的F2值。
1. 体系1:r1=0.1, r2=0.1
\[ F_2 = \frac{0.1 + 0.5}{0.1 + 0.1 + 1} = \frac{0.6}{1.2} = 0.5 \]
2. 体系2:r1=0.1, r2=1
\[ F_2 = \frac{1 + 0.5}{0.1 + 1 + 1} = \frac{1.5}{2.1} = 0.714 \]
3. 体系3:r1=0.1, r2=10
\[ F_2 = \frac{10 + 0.5}{0.1 + 10 + 1} = \frac{10.5}{11.1} = 0.946 \]
4. 体系4:r1=0.5, r2=0.5
\[ F_2 = \frac{0.5 + 0.5}{0.5 + 0.5 + 1} = \frac{1}{2} = 0.5 \]
5. 体系5:r1=0.2, r2=0.2
\[ F_2 = \frac{0.2 + 0.5}{0.2 + 0.2 + 1} = \frac{0.7}{1.4} = 0.5 \]
6. 体系6:r1=0.8, r2=0.8
\[ F_2 = \frac{0.8 + 0.5}{0.8 + 0.8 + 1} = \frac{1.3}{2.6} = 0.5 \]
7. 体系7:r1=0.2, r2=0.8
\[ F_2 = \frac{0.8 + 0.5}{0.2 + 0.8 + 1} = \frac{1.3}{2} = 0.65 \]
8. 体系8:r1=0.2, r2=5
\[ F_2 = \frac{5 + 0.5}{0.2 + 5 + 1} = \frac{5.5}{6.2} = 0.887 \]
9. 体系9:r1=0.2, r2=10
\[ F_2 = \frac{10 + 0.5}{0.2 + 10 + 1} = \frac{10.5}{11.2} = 0.938 \]
共聚物组成曲线是根据单体的竞聚率(r1和r2)来绘制的,它显示了在不同转化率下共聚物中两种单体的组成比例。当${f}_{1}=0.5$时,意味着两种单体的初始浓度相等,即${f}_{1}={f}_{2}=0.5$。
步骤 2:计算F2值
根据题目要求,当${f}_{1}=0.5$时,我们需要计算在低转化率阶段的F2值。F2是共聚物中单体2的摩尔分数,可以通过以下公式计算:
\[ F_2 = \frac{r_2 + f_2}{r_1 + r_2 + f_1 + f_2} \]
由于${f}_{1}={f}_{2}=0.5$,公式可以简化为:
\[ F_2 = \frac{r_2 + 0.5}{r_1 + r_2 + 1} \]
步骤 3:计算各体系的F2值
根据给定的r1和r2值,我们可以计算出每个体系的F2值。
1. 体系1:r1=0.1, r2=0.1
\[ F_2 = \frac{0.1 + 0.5}{0.1 + 0.1 + 1} = \frac{0.6}{1.2} = 0.5 \]
2. 体系2:r1=0.1, r2=1
\[ F_2 = \frac{1 + 0.5}{0.1 + 1 + 1} = \frac{1.5}{2.1} = 0.714 \]
3. 体系3:r1=0.1, r2=10
\[ F_2 = \frac{10 + 0.5}{0.1 + 10 + 1} = \frac{10.5}{11.1} = 0.946 \]
4. 体系4:r1=0.5, r2=0.5
\[ F_2 = \frac{0.5 + 0.5}{0.5 + 0.5 + 1} = \frac{1}{2} = 0.5 \]
5. 体系5:r1=0.2, r2=0.2
\[ F_2 = \frac{0.2 + 0.5}{0.2 + 0.2 + 1} = \frac{0.7}{1.4} = 0.5 \]
6. 体系6:r1=0.8, r2=0.8
\[ F_2 = \frac{0.8 + 0.5}{0.8 + 0.8 + 1} = \frac{1.3}{2.6} = 0.5 \]
7. 体系7:r1=0.2, r2=0.8
\[ F_2 = \frac{0.8 + 0.5}{0.2 + 0.8 + 1} = \frac{1.3}{2} = 0.65 \]
8. 体系8:r1=0.2, r2=5
\[ F_2 = \frac{5 + 0.5}{0.2 + 5 + 1} = \frac{5.5}{6.2} = 0.887 \]
9. 体系9:r1=0.2, r2=10
\[ F_2 = \frac{10 + 0.5}{0.2 + 10 + 1} = \frac{10.5}{11.2} = 0.938 \]