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Answer :
To calculate the molarity of 25 grams of CH₄ in 375 mL of solution, follow these steps:
1. Determine the Molar Mass of CH₄:
- Carbon (C) has an atomic mass of approximately 12.01 g/mol.
- Hydrogen (H) has an atomic mass of approximately 1.008 g/mol.
- Methane (CH₄) has one carbon atom and four hydrogen atoms.
- The molar mass of CH₄ = 12.01 g/mol + (4 × 1.008 g/mol) = 16.042 g/mol.
2. Convert the Volume from mL to L:
- There are 1000 mL in a liter, so convert 375 mL to liters.
- Volume in liters = 375 mL ÷ 1000 = 0.375 L.
3. Calculate the Number of Moles of CH₄:
- Use the formula: moles = mass (g) ÷ molar mass (g/mol).
- Moles of CH₄ = 25 g ÷ 16.042 g/mol ≈ 1.558 moles.
4. Calculate the Molarity:
- Molarity is defined as the number of moles of solute per liter of solution.
- Molarity of CH₄ = moles of CH₄ ÷ volume of solution in liters.
- Molarity of CH₄ = 1.558 moles ÷ 0.375 L ≈ 4.156 M.
Therefore, the molarity of the solution is approximately 4.156 M (moles per liter).
1. Determine the Molar Mass of CH₄:
- Carbon (C) has an atomic mass of approximately 12.01 g/mol.
- Hydrogen (H) has an atomic mass of approximately 1.008 g/mol.
- Methane (CH₄) has one carbon atom and four hydrogen atoms.
- The molar mass of CH₄ = 12.01 g/mol + (4 × 1.008 g/mol) = 16.042 g/mol.
2. Convert the Volume from mL to L:
- There are 1000 mL in a liter, so convert 375 mL to liters.
- Volume in liters = 375 mL ÷ 1000 = 0.375 L.
3. Calculate the Number of Moles of CH₄:
- Use the formula: moles = mass (g) ÷ molar mass (g/mol).
- Moles of CH₄ = 25 g ÷ 16.042 g/mol ≈ 1.558 moles.
4. Calculate the Molarity:
- Molarity is defined as the number of moles of solute per liter of solution.
- Molarity of CH₄ = moles of CH₄ ÷ volume of solution in liters.
- Molarity of CH₄ = 1.558 moles ÷ 0.375 L ≈ 4.156 M.
Therefore, the molarity of the solution is approximately 4.156 M (moles per liter).
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