Explore BrainMass

Explore BrainMass

    Combustion of gaseous dimethyl ether

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    What volume of O2 (g) is consumed in the combustion of 125g of gaseous dimethyl ether (CH3)2) if both gas volumes are measured at the temperature and pressure at which the density of dimethyl ether is 1.81g/l?

    © BrainMass Inc. brainmass.com December 24, 2021, 5:10 pm ad1c9bdddf
    https://brainmass.com/chemistry/gas-laws/combustion-of-gaseous-dimethyl-ether-32971

    SOLUTION This solution is FREE courtesy of BrainMass!

    Atomic mass of Carbon= 12.01
    Atomic mass of Hydrogen= 1.008
    Atomic mass of Oxygen= 16
    Therefore, Molar mass of dimethyl ether = 46.07g
    (as 2 x (12.01+ 3 x 1.008) + 16 = 46.07)

    CH3 -O- CH3 (g) + 3O2 (g) --> 2CO2(g) + 3H2O(g)

    125 g of dimethyl ether x (1 mol CH3 -O- CH3 / 46.07 g CH3 -O- CH3) = 2.713 mol of dimethyl ether

    Molar ratio: 3 mol of oxygen/mol of dimethyl ether

    2.713 mol of dimethyl ether x (3 mol oxygen / 1 mol dimethyl ether) = 8.139 mol of oxygen

    Therefore to burn 125 g of dimethyl ether gas 2.713 mol of oxygen is required.

    From the ideal gas equation
    P/RT = rho /M
    rho /M = 1.81 g/l / 46.07= 0.039288

    Therefore P/RT = 0.039288

    For Oxygen
    PV = nRT
    Or V = n RT /P
    n= 8.139 mol
    P/RT = 0.039288
    Therefore V= 8.139/ 0.039288 = 207 liters

    Answer: Volume of Oxygen required= 207 liters

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 5:10 pm ad1c9bdddf>
    https://brainmass.com/chemistry/gas-laws/combustion-of-gaseous-dimethyl-ether-32971

    Attachments

    ADVERTISEMENT