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Choose the Best Answer · Q7

Q.For a reaction Rate=k[acetone]3/2\text{Rate}=k[\text{acetone}]^{3/2} then unit of rate constant and rate of reaction respectively is

(a) (mol L−1s−1), (mol−1/2L1/2s−1)(\text{mol L}^{-1}\text{s}^{-1}),\ (\text{mol}^{-1/2}\text{L}^{1/2}\text{s}^{-1})
(b) (mol−1/2L1/2s−1), (mol L−1s−1)(\text{mol}^{-1/2}\text{L}^{1/2}\text{s}^{-1}),\ (\text{mol L}^{-1}\text{s}^{-1})
(c) (mol1/2L1/2s−1), (mol L−1s−1)(\text{mol}^{1/2}\text{L}^{1/2}\text{s}^{-1}),\ (\text{mol L}^{-1}\text{s}^{-1})
(d) (mol L s−1), (mol1/2L1/2s)(\text{mol L s}^{-1}),\ (\text{mol}^{1/2}\text{L}^{1/2}\text{s})
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Step 1. For an nth order reaction, the unit of the rate CONSTANT is (mol L−1)1−ns−1(\text{mol L}^{-1})^{1-n}\text{s}^{-1}; here n=3/2n=3/2, so the unit is (mol L−1)1−3/2s−1=(mol L−1)−1/2s−1=mol−1/2L1/2s−1(\text{mol L}^{-1})^{1-3/2}\text{s}^{-1}=(\text{mol L}^{-1})^{-1/2}\text{s}^{-1}=\text{mol}^{-1/2}\text{L}^{1/2}\text{s}^{-1}.

Step 2. The unit of the RATE of reaction itself is always mol L−1s−1\text{mol L}^{-1}\text{s}^{-1} (concentration change per unit time), regardless of the reaction's order -- order only changes the unit of k, never the unit of rate. …

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