IDNStudy.com, ang iyong mapagkukunan para sa mga sagot ng eksperto. Makakuha ng impormasyon mula sa aming mga eksperto, na nagbibigay ng maaasahang sagot sa lahat ng iyong mga tanong.

Predict the boiling point of a solution w/c contains 100g of C10H8 in 480 g C6H6


Sagot :

SOLUTION:

Step 1: List the given values.

[tex]\begin{aligned} & mass_{\text{solute}} = \text{100 g} \\ & MM_{\text{solute}} = \text{128.174 g/mol} \\ & mass_{\text{solvent}} = \text{480 g = 0.480 kg} \\ & K_{\text{b}} = 2.53^{\circ}\text{C/}m \\ & T^{\circ}_{\text{b}} = 80.1^{\circ}\text{C} \end{aligned}[/tex]

Step 2: Calculate the number of moles of solute.

[tex]\begin{aligned} n_{\text{solute}} & = \frac{mass_{\text{solute}}}{MM_{\text{solute}}} \\ & = \frac{\text{100 g}}{\text{128.174 g/mol}} \\ & = \text{0.780189 mol} \end{aligned}[/tex]

Step 3: Calculate the molality of solution.

[tex]\begin{aligned} m & = \frac{n_{\text{solute}}}{mass_{\text{solvent}}} \\ & = \frac{\text{0.780189 mol}}{\text{0.480 kg}} \\ & = \text{1.62539 mol/kg} \\ & = 1.62539 \: m \end{aligned}[/tex]

Step 4: Calculate the boiling-point elevation.

[tex]\begin{aligned} \Delta T_{\text{b}} & = K_{\text{b}}m \\ & = (2.53^{\circ}\text{C/}m)(1.62539 \: m) \\ & = 4.11^{\circ}\text{C} \end{aligned}[/tex]

Step 5: Calculate the boiling point of the solution.

[tex]\begin{aligned} T_{\text{b}} & = T^{\circ}_{\text{b}} + \Delta T_{\text{b}} \\ & = 80.1^{\circ}\text{C} + 4.11^{\circ}\text{C} \\ & = \boxed{84.21^{\circ}\text{C}} \end{aligned}[/tex]

Hence, the boiling point of the solution is 84.21°C.

[tex]\\[/tex]

#CarryOnLearning