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Standard VII

Chemistry

Half Life

The decomposi...

Question

The decomposition of dimethyl ether is a fractional-order reaction. The rate of reaction is given by $R a t e = k (p_{C H_{3} O C H_{3}})^{3 / 2}$ . If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constant?

b a r m i n^{- 1}, b a r^{2} m i n^{- 1}

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b a r m i n^{- 1}, b a r^{- 1 / 2} m i n^{- 1}

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b a r^{- 1 / 2} m i n^{- 1}, b a r^{2} m i n^{- 1}

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b a r m i n^{- 1}, b a r^{1 / 2} m i n^{- 1}

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Solution

The correct option is B $b a r m i n^{- 1}, b a r^{- 1 / 2} m i n^{- 1}$
In terms of pressure,

$R a t e = k (p_{C H_{3} O C H_{3}})^{3 / 2}$
Unit of rate $= b a r m i n^{- 1}$
Unit of rate constant $= \frac{r a t e}{(p_{C H_{3} O C H_{3}})^{3 / 2}}$
$= \frac{b a r m i n^{- 1}}{b a r^{3 / 2}} = b a r^{- 1 / 2} m i n^{- 1}$ .

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If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constants?

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The decomposition of dimethyl ether is a fractional-order reaction. The rate of reaction is given by Rate=k(pCH3OCH3)3/2. If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constant?

The correct option is B bar min−1,bar−1/2min−1In terms of pressure,Rate=k(pCH3OCH3)3/2Unit of rate =bar min−1Unit of rate constant =rate(pCH3OCH3)3/2=bar min−1bar3/2=bar−1/2min−1.

The decomposition of dimethyl ether is a fractional-order reaction. The rate of reaction is given by $R a t e = k (p_{C H_{3} O C H_{3}})^{3 / 2}$ . If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constant?