Math Problem Statement
What mass (in g) of NH3 must be dissolved in 475 g of methanol to make a 0.250 m solution?
Solution
To find the mass of required to make a 0.250 molal () solution in 475 g of methanol, we can use the definition of molality:
Step 1: Rearrange the formula to solve for moles of
Step 2: Convert the mass of methanol from grams to kilograms
Step 3: Calculate the moles of
Step 4: Calculate the molar mass of
- Nitrogen (N): 14.01 g/mol
- Hydrogen (H): 1.008 g/mol (there are 3 hydrogen atoms)
Step 5: Calculate the mass of
So, the mass of that must be dissolved in 475 g of methanol to make a 0.250 solution is approximately 2.022 g.
Would you like more details or have any questions about this calculation?
Here are five related questions you might find helpful:
- How do you calculate the molality of a solution given the mass of solute and solvent?
- How does the density of a solvent affect the preparation of solutions?
- What is the difference between molality and molarity?
- How would you prepare a solution with a specific molality using a different solute?
- What is the effect of temperature on the molality of a solution?
Tip: Molality is independent of temperature, making it particularly useful in situations where temperature varies.
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Math Problem Analysis
Mathematical Concepts
Molality
Molar mass calculation
Unit conversion
Formulas
Molality (m) = moles of solute / mass of solvent in kg
Molar mass of NH3 = 14.01 + (3 * 1.008)
Theorems
-
Suitable Grade Level
High School
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