Answer: The molality of solution is 0.740 m.
Step-by-step explanation:
To calculate the mass of solvent (water), we use the equation:
![Density=(Mass)/(Volume)](https://img.qammunity.org/2020/formulas/chemistry/middle-school/hzknnknzlihjnnp7o4jwkew5bpcuhffxxx.png)
Volume of water = 750 mL
Density of water = 1 g/mL
Putting values in above equation, we get:
![1g/mL=\frac{\text{Mass of water}}{750mL}\\\\\text{Mass of water}=750g](https://img.qammunity.org/2020/formulas/chemistry/college/25hmuacaak32nxqm8tuxbcez1zfvunkoom.png)
To calculate the molality of solution, we use the equation:
![Molarity=\frac{m_(solute)* 1000}{M_(solute)* W_(solvent)\text{ in grams}}](https://img.qammunity.org/2020/formulas/chemistry/college/p0aet2faklms5h5pzoi09cdkaeh7hbz4sc.png)
Where,
= Given mass of solute
= 100.0 g
= Molar mass of solute
= 180 g/mol
= Mass of solvent (water) = 750 g
Putting values in above equation, we get:
![\text{Molality of }C_6H_(12)O_6=(100* 1000)/(180* 750)\\\\\text{Molality of }C_6H_(12)O_6=0.740m](https://img.qammunity.org/2020/formulas/chemistry/college/e7qh8keq4n9omp3vqliat1s14cpvzdzzle.png)
Hence, the molality of solution is 0.740 m.