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Dimethyl ether decomposes as CH(3)OCH(...

Dimethyl ether decomposes as
`CH_(3)OCH_(3)(g)rarrCH_(4)(g)+CO(g)+H_(2)(g)`
When `CH_(3)OCH_(3)(g)` decomposes to 20% extent under certain conditions, what is the ratio of diffusion of pure `CH_(3)OCH_(3)(g)` with methane?

A

`0.59:1`

B

`1.18:1`

C

`2.36:1`

D

`1.77:1`

Text Solution

Verified by Experts

The correct Answer is:
c
(c) `(r_(CH_(3)OCH_(3)))/(r_(CH_(4)))=sqrt((M_(CH_(4)))/(M_(CH_(3)OCH_(3))))xx(P_(CH_(3)OCH_(3)))/(P_(CH_(4)))`
`=sqrt((16)/(46))xx(0.8)/(0.2)=2.36:1`
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A vessel contains dimethyl ether at a pressure of 0.4 atm . Dimethyl ether decomposes as CH_(3)OCH_(3(g))rarr CH_(4(g))+CO_((g))+H_(2(g)) The rate constant of decomposition is 4.78xx10^(-3) min^(-1) . Calculate the ratio of initial rate of diffusion to rate of diffusion after 4.5 hour of initiation of decomposition. Assume the composition of gas present and gas diffused to be same.

A vessel contains dimethyl ether at a pressure of 0.4 atm. Dimethyl ether decomposes as CH_(3)OCH_(3)(g)+CH_(4)(g)+CO(g)+H_(2)(g). The rate constant of decomposition is 4.78 xx 10^(–3)" min"^(–1) . Calculate the ratio of initial rate of diffusion to rate of diffusion after 4.5 hours of initiation of decomposition. Assume the composition of gas present and composition of gas diffusing to be same.

Knowledge Check

  • Bond angle in CH_(3)OCH_(3) is

    A
    `180^(@)`
    B
    `109^(@)28'`
    C
    `110^(@)`
    D
    `90^(@)`

  • The compounds C_(2)H_(5)OC_(2)H_(5)andCH_(3)OCH_(2)CH_(2)CH_(3) are

    A
    chain isomers
    B
    geometrical isomers
    C
    metamers
    D
    conformational isomers

  • The IUPAC name of CH_(3)OCH_(2)CH_(2)OCH_(2)CH_(2)OCH_(2)CH_(3) is

    A
    `3,6,9-`trioxadecane
    B
    ethoxy methoxy diethyl ether
    C
    ethoxymethyl methoxyethyl ether
    D
    `2,5,8-`trioxdecane

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