What is the boiling point of a solution of 0.1 mole of glucose in 200 mL of water? (K = 0.512C/m)

Question

BlackTom AI · Accepted Answer

To tackle boiling point elevation, I’ll use the formula ΔTb = i Kb m.
Option 1: 100.06°C. This would imply ΔTb = 0.06°C, which would correspond to a very small molality. Given the setup (0.1 mol in 0.200 kg solvent), the calculated molality is 0.5 m, leading to a larger shift than 0.06°C. So this value is too low.
Option 2: 100.13°C. Here ΔTb ≈ 0.13°C. While closer than option 1, the actual molality of 0.5 m with i = 1 and Kb = 0.512°C/m gives ΔTb ≈ 0.256°C, which is about twice 0.13°C. Therefore this option underestimates the boiling point rise.
Option 3: 100.26°C. This corresponds to ΔTb ≈ 0.26°C. Using ΔTb = i Kb m with i = 1, Kb = 0.512°C/m, and m = moles solute / kg solvent = 0.1 mol / 0.200 kg = 0.5 m, we get ΔTb = 0.512 × 0.5 ≈ 0.256°C, which rounds to 0.26°C. Adding to the pure water boiling point (100.0°C) yields about 100.26°C, matching this option. This is the correct calculation.
Option 4: 100.5°C. This would require ΔTb = 0.5°C, which would need either a much larger molality or a higher Kb than given. With the provided values, ΔTb is about 0.26°C, not 0.5°C, so this is inconsistent with the data.
In summary, the calculation follows from ΔTb = i Kb m with i = 1 for glucose (a non-electrolyte), m = 0.1 mol / 0.200 kg = 0.5 m, and Kb = 0.512°C/m, giving ΔTb ≈ 0.256°C and a boiling point of ≈ 100.26°C, which aligns with option 3.

What is the boiling point of a solution of 0.1 mole of glucose in 200 mL of water? (K = 0.512C/m)

查看解析

登录即可查看完整答案

类似问题

What is the boiling point of a solution that contains 3 moles of KBr in 2000 g of water? (K = 0.512C/m; molar mass of water = 18 g)

What is the boiling point of a solution of 0.1 mole of glucose in 200 mL of water? (K = 0.512C/m)

What is the boiling point of a solution that contains 3 moles of KBr in 2000 g of water? (K = 0.512C/m; molar mass of water = 18 g)

Ignoring ion pairing, which aqueous solution has the highest normal boiling point?

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单