Calculate the mass, in grams, for each of the following:d. 0.145 mole of C₂H₆O
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Identify the molar mass of each element in the compound C₂H₆O: Carbon (C), Hydrogen (H), and Oxygen (O).
Calculate the molar mass of C₂H₆O by adding the molar masses of all the atoms in the compound. Use the formula: \( \text{Molar mass of C}_2\text{H}_6\text{O} = 2 \times \text{Molar mass of C} + 6 \times \text{Molar mass of H} + 1 \times \text{Molar mass of O} \).
Use the molar mass of C₂H₆O to convert moles to grams. Apply the formula: \( \text{mass (g)} = \text{moles} \times \text{molar mass (g/mol)} \).
Substitute the given number of moles (0.145 mole) and the calculated molar mass of C₂H₆O into the formula to find the mass in grams.
Ensure all units are consistent and check your calculations for accuracy.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Mole Concept
The mole is a fundamental unit in chemistry that quantifies the amount of substance. One mole contains approximately 6.022 x 10²³ entities, such as atoms or molecules. This concept allows chemists to convert between the number of particles and the mass of a substance, facilitating calculations in stoichiometry.
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. For example, the molar mass of ethanol (C₂H₆O) can be determined by adding the atomic masses of carbon, hydrogen, and oxygen, which is essential for converting moles to grams.
To convert moles of a substance to grams, the formula used is: mass (g) = moles × molar mass (g/mol). This calculation is crucial in chemistry for determining how much of a substance is needed or produced in a reaction. Understanding this conversion is key to solving problems involving quantities of reactants and products.