Calculate the mass, in grams, for each of the following:
d. 0.145 mole of C₂H₆O

Verified step by step guidance

1. Step 1: Identify the molecular formula of the compound. In this case, the molecular formula is C₂H₆O, which represents ethanol.
2. Step 2: Calculate the molar mass of C₂H₆O by summing the atomic masses of its elements. Use the periodic table to find the atomic masses: Carbon (C) = 12.01 g/mol, Hydrogen (H) = 1.008 g/mol, and Oxygen (O) = 16.00 g/mol. The molar mass is calculated as: $2\cdot 12.01+6\cdot 1.008+16.00$ g/mol.
3. Step 3: Write the relationship between moles and mass using the formula: $\mathrm{mass}=\mathrm{moles}\cdot \mathrm{molar} \mathrm{mass}$. Here, the number of moles is given as 0.145 moles.
4. Step 4: Substitute the values into the formula. Use the molar mass calculated in Step 2 and the given number of moles (0.145 moles) to find the mass: $\mathrm{mass}=0.145\cdot \mathrm{molar} \mathrm{mass}$.
5. Step 5: Perform the multiplication to calculate the mass in grams. Ensure the units cancel appropriately, leaving the final answer in grams.

Key Concepts

Mole Concept

The mole is a fundamental unit in chemistry that quantifies the amount of substance. One mole corresponds to 6.022 x 10²³ entities, such as atoms or molecules. Understanding the mole concept is essential for converting between the number of particles and mass, as it provides a bridge between the microscopic and macroscopic worlds.

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. For C₂H₆O, the molar mass is crucial for determining the mass of a given number of moles, allowing for conversions between moles and grams.

Mass Calculation

To calculate the mass of a substance from moles, the formula used is: mass (g) = moles × molar mass (g/mol). This relationship allows chemists to determine how much of a substance is present based on its quantity in moles. Applying this formula to the given moles of C₂H₆O will yield the required mass in grams.