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In Three Moles of Ethane Calculate The Following

Reviewed by Calculator Editorial Team

This guide explains how to calculate key properties of three moles of ethane (C₂H₆), including molar mass, volume at standard temperature and pressure (STP), and energy content. Ethane is a common hydrocarbon with important applications in industry and research.

Introduction to Ethane Calculations

Ethane (C₂H₆) is a saturated hydrocarbon with the molecular formula C₂H₆. It's the second simplest alkane after methane. Understanding its properties is essential for chemistry, engineering, and environmental studies.

When dealing with three moles of ethane, we can calculate several important quantities:

  • Molar mass (gram per mole)
  • Volume at standard conditions
  • Energy content (combustion enthalpy)
  • Mass of the sample

Standard Conditions

Standard Temperature and Pressure (STP) is defined as 0°C (273.15 K) and 1 atmosphere (101.325 kPa). These conditions are commonly used for gas volume calculations.

Key Calculations for Three Moles of Ethane

1. Molar Mass Calculation

The molar mass of ethane is calculated by summing the atomic masses of all atoms in the molecule:

Formula

Molar mass of C₂H₆ = (2 × atomic mass of carbon) + (6 × atomic mass of hydrogen)

Molar mass of C₂H₆ = (2 × 12.01 g/mol) + (6 × 1.008 g/mol) = 30.07 g/mol

2. Volume at STP

The volume of a gas at STP can be calculated using Avogadro's law:

Formula

Volume = number of moles × molar volume at STP

Volume = 3 moles × 22.414 L/mol = 67.242 L

3. Mass Calculation

The mass of three moles of ethane is calculated using the molar mass:

Formula

Mass = number of moles × molar mass

Mass = 3 moles × 30.07 g/mol = 90.21 g

4. Energy Content

The energy content of ethane is typically expressed as its standard enthalpy of combustion:

Formula

Energy content = number of moles × ΔH°c

For ethane, ΔH°c = -1560 kJ/mol

Energy content = 3 moles × 1560 kJ/mol = 4680 kJ

Worked Examples

Example 1: Volume Calculation

Calculate the volume of three moles of ethane at STP.

Solution:

  1. Identify the number of moles: 3 moles
  2. Use the molar volume at STP: 22.414 L/mol
  3. Calculate volume: 3 × 22.414 = 67.242 L

Result: The volume is 67.242 liters.

Example 2: Mass Calculation

Calculate the mass of three moles of ethane.

Solution:

  1. Determine the molar mass of ethane: 30.07 g/mol
  2. Multiply by number of moles: 3 × 30.07 = 90.21 g

Result: The mass is 90.21 grams.

Example 3: Energy Content

Calculate the energy released when three moles of ethane burn completely.

Solution:

  1. Use standard enthalpy of combustion: -1560 kJ/mol
  2. Multiply by number of moles: 3 × 1560 = 4680 kJ

Result: The energy released is 4680 kilojoules.

Frequently Asked Questions

What is the molar mass of ethane?

The molar mass of ethane (C₂H₆) is approximately 30.07 g/mol, calculated by summing the atomic masses of two carbon atoms and six hydrogen atoms.

How do I calculate the volume of three moles of ethane at STP?

Multiply the number of moles (3) by the molar volume at STP (22.414 L/mol) to get 67.242 liters.

What is the energy content of three moles of ethane?

The energy content is calculated by multiplying the number of moles (3) by the standard enthalpy of combustion (-1560 kJ/mol), resulting in 4680 kJ.

Is ethane a solid, liquid, or gas at room temperature?

Ethane is a gas at room temperature (20°C) and standard pressure. It liquefies at -88.6°C under standard pressure.