The given molecule C_12 H_22 O_11 is sucrose.
Sucrose of not dissociable in water hence Vant Hoff factor is 1
i.e
- i=1
- molality=m=0.3
- k=freezing point constant (As we don't need to find the perfect freezing point let's keep it constant)
![\boxed{\sf T_f=kmi}](https://img.qammunity.org/2022/formulas/chemistry/high-school/r8tzhopjamw0ebp6vmhx6ost8v73zeg7c2.png)
For Sucrose
![\\ \sf\longmapsto T_f=1(0.3)k=0.3k](https://img.qammunity.org/2022/formulas/chemistry/high-school/n8po5r2x9qpgyaog5ezh7o9zksqkdjpdou.png)
Now.
Let's check Vant Hoff factor of each compound.
- AlCl_3=4
- CuCl_2=3
- NaCl=2
- C_6H_12O=1
Let's count Freezing point of each compound.
AlCl_3
m=0.075
![\\ \sf\longmapsto T_f=0.075(4)k=0.3k](https://img.qammunity.org/2022/formulas/chemistry/high-school/5rkdvh9ihu419c7fhg85fpyo8usotesly5.png)
CuCl_2
m=0.15
![\\ \sf\longmapsto T_f=0.15(3)k=0.75k](https://img.qammunity.org/2022/formulas/chemistry/high-school/hnf2fmr2uhbg70yif13id5abb3qqqu3xxi.png)
NaCl:-
m=0.3
![\\ \sf\longmapsto T_f=0.3(2)k=0.6k](https://img.qammunity.org/2022/formulas/chemistry/high-school/z8scwa9wr0p1lpzpxo9tbur5kbcsblrbdg.png)
Glucose:-
m=0.6
![\\ \sf\longmapsto T_f=0.6k](https://img.qammunity.org/2022/formulas/chemistry/high-school/ramgeigq8fa0t6cfgpws5cjiadcof11009.png)
Hence option A is correct