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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 43a,b
13장, 문제 43a,b

Calculate the molarity of the following aqueous solutions: (a) 0.540 g of Mg(NO3)2 in 250.0 mL of solution, (b) 22.4 g of LiClO4 • 3 H2O in 125 mL of solution,

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1
Step 1: Understand the concept of molarity. Molarity (M) is defined as the number of moles of solute per liter of solution. The formula to calculate molarity is: \( M = \frac{\text{moles of solute}}{\text{liters of solution}} \).
Step 2: Calculate the molarity for part (a). First, determine the molar mass of \( \text{Mg(NO}_3\text{)}_2 \). The molar mass is the sum of the atomic masses of all atoms in the formula: \( \text{Mg} = 24.31 \text{g/mol}, \text{N} = 14.01 \text{g/mol}, \text{O} = 16.00 \text{g/mol} \). Calculate the molar mass of \( \text{Mg(NO}_3\text{)}_2 \).
Step 3: Convert the mass of \( \text{Mg(NO}_3\text{)}_2 \) to moles using its molar mass. Use the formula: \( \text{moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} \).
Step 4: Convert the volume of the solution from milliliters to liters for part (a). Remember that 1 L = 1000 mL, so divide the volume in milliliters by 1000.
Step 5: Calculate the molarity for part (b) using a similar approach. First, determine the molar mass of \( \text{LiClO}_4 \cdot 3 \text{H}_2\text{O} \) by adding the atomic masses of \( \text{Li} = 6.94 \text{g/mol}, \text{Cl} = 35.45 \text{g/mol}, \text{O} = 16.00 \text{g/mol}, \text{H} = 1.01 \text{g/mol} \). Then, convert the mass to moles and the volume to liters, and finally calculate the molarity using the formula \( M = \frac{\text{moles of solute}}{\text{liters of solution}} \).

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주요 개념

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

Molarity

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is expressed in moles per liter (mol/L) and is crucial for understanding how much solute is present in a given volume of solution. To calculate molarity, one must first determine the number of moles of the solute using its molar mass and then divide by the volume of the solution in liters.
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가이드 코스
01:13
Molarity

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all atoms in a molecule. Knowing the molar mass is essential for converting grams of a substance to moles, which is a necessary step in calculating molarity.
추천 영상:
가이드 코스
02:11
Molar Mass Concept

Volume Conversion

Volume conversion is the process of converting units of volume, such as milliliters (mL) to liters (L). Since molarity is defined in terms of liters, it is important to convert the volume of the solution from mL to L by dividing by 1000. This ensures that the calculations for molarity are accurate and consistent with the standard units used in chemistry.
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가이드 코스
02:38
Common Conversion Factors
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