Skip to main content
Ch.13 - Properties of Solutions
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 14th EditionCh.13 - Properties of Solutions문제 48c
13장, 문제 48c

Ascorbic acid (vitamin C, C6H8O6) is a water-soluble vitamin. A solution containing 80.5 g of ascorbic acid dissolved in 210 g of water has a density of 1.22 g/mL at 55 °C. Calculate (c) the molality,

검증된 단계별 안내
1
Identify the formula for molality: \( m = \frac{\text{moles of solute}}{\text{kilograms of solvent}} \).
Calculate the moles of ascorbic acid using its molar mass. The molar mass of C\(_6\)H\(_8\)O\(_6\) is calculated as follows: \( 6(12.01) + 8(1.01) + 6(16.00) \).
Convert the mass of the solvent (water) from grams to kilograms. Since the mass of water is 210 g, convert it to kilograms by dividing by 1000.
Use the moles of ascorbic acid and the kilograms of water to calculate the molality using the formula from step 1.
Ensure all units are consistent and check calculations for accuracy.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
3m
도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Molality

Molality is a measure of the concentration of a solute in a solution, defined as the number of moles of solute per kilogram of solvent. It is particularly useful in situations where temperature changes may affect the volume of the solution, as it is based on mass rather than volume. The formula for calculating molality (m) is m = moles of solute / mass of solvent (in kg).
추천 영상:
가이드 코스
00:40
Molality

Moles of Solute

To calculate molality, one must first determine the number of moles of the solute, which in this case is ascorbic acid. The number of moles can be calculated using the formula: moles = mass (g) / molar mass (g/mol). The molar mass of ascorbic acid (C6H8O6) is approximately 176.12 g/mol, which is essential for converting grams of ascorbic acid into moles.
추천 영상:
가이드 코스
00:27
Mole Fraction Formula

Density and Volume Relationship

Density is defined as mass per unit volume (g/mL), and it plays a crucial role in determining the volume of the solvent when given its mass. In this problem, the density of the solution is provided, allowing us to calculate the volume of the water used. Understanding the relationship between mass, density, and volume is essential for accurately determining the mass of the solvent in kilograms for the molality calculation.
추천 영상:
가이드 코스
01:09
Relationship of Volume and Moles Example
관련 실천
교과서 질문

The density of acetonitrile (CH3CN) is 0.786 g/mL and the density of methanol (CH3OH) is 0.791 g/mL. A solution is made by dissolving 22.5 mL of CH3OH in 98.7 mL of CH3CN. (b) What is the molality of the solution?

1014
views
교과서 질문

Ascorbic acid (vitamin C, C6H8O6) is a water-soluble vitamin. A solution containing 80.5 g of ascorbic acid dissolved in 210 g of water has a density of 1.22 g/mL at 55 °C. Calculate (d) the molarity of ascorbic acid in this solution.

교과서 질문

Ascorbic acid (vitamin C, C6H8O6) is a water-soluble vitamin. A solution containing 80.5 g of ascorbic acid dissolved in 210 g of water has a density of 1.22 g/mL at 55 °C. Calculate (a) the mass percentage,

531
views
교과서 질문

The density of acetonitrile (CH3CN) is 0.786 g/mL and the density of methanol (CH3OH) is 0.791 g/mL. A solution is made by dissolving 22.5 mL of CH3OH in 98.7 mL of CH3CN. (a) What is the mole fraction of methanol in the solution?

1006
views