<u>Answer:</u> The mass of glucose in final solution is 1.085 grams
<u>Explanation:</u>
To calculate the molarity of solution, we use the equation:
......(1)
Given mass of glucose = 15.5 g
Molar mass of glucose = 180.2 g/mol
Volume of solution = 100 mL
Putting values in equation 1, we get:
![\text{Molarity of glucose solution}=\frac{15.5\times 1000}{180.2\times 100}\\\\\text{Molarity of glucose solution}=0.860M](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20glucose%20solution%7D%3D%5Cfrac%7B15.5%5Ctimes%201000%7D%7B180.2%5Ctimes%20100%7D%5C%5C%5C%5C%5Ctext%7BMolarity%20of%20glucose%20solution%7D%3D0.860M)
To calculate the molarity of the diluted solution, we use the equation:
![M_1V_1=M_2V_2](https://tex.z-dn.net/?f=M_1V_1%3DM_2V_2)
where,
are the molarity and volume of the concentrated glucose solution
are the molarity and volume of diluted glucose solution
We are given:
![M_1=0.860M\\V_1=35.0mL\\M_2=?M\\V_2=0.500L=500mL](https://tex.z-dn.net/?f=M_1%3D0.860M%5C%5CV_1%3D35.0mL%5C%5CM_2%3D%3FM%5C%5CV_2%3D0.500L%3D500mL)
Putting values in above equation, we get:
![0.860\times 35.0=M_2\times 500\\\\M_2=\frac{0.860\times 35.0}{500}=0.0602M](https://tex.z-dn.net/?f=0.860%5Ctimes%2035.0%3DM_2%5Ctimes%20500%5C%5C%5C%5CM_2%3D%5Cfrac%7B0.860%5Ctimes%2035.0%7D%7B500%7D%3D0.0602M)
Now, calculating the mass of glucose by using equation 1, we get:
Molarity of glucose solution = 0.0602 M
Molar mass of glucose = 180.2 g/mol
Volume of solution = 100 mL
Putting values in equation 1, we get:
![0.0602=\frac{\text{Mass of glucose solution}\times 1000}{180.2\times 100}\\\\\text{Mass of glucose solution}=\frac{0.0602\times 180.2\times 100}{1000}=1.085g](https://tex.z-dn.net/?f=0.0602%3D%5Cfrac%7B%5Ctext%7BMass%20of%20glucose%20solution%7D%5Ctimes%201000%7D%7B180.2%5Ctimes%20100%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20glucose%20solution%7D%3D%5Cfrac%7B0.0602%5Ctimes%20180.2%5Ctimes%20100%7D%7B1000%7D%3D1.085g)
Hence, the mass of glucose in final solution is 1.085 grams