Problem: The rate of disappearance of HCl was measured for the following reaction:CH3OH(aq) + HCl(aq) CH3Cl(aq) + H2O(l)The following data were collected: Time (min)  [HCl] (M) 0.01.8553.01.58107.01.36215.01.02431.00.580Determine the instantaneous rates in M/s at t = 75.0  min and t = 250  min.

FREE Expert Solution

An instantaneous reaction rate is the rate at a particular moment:

Graphically, rate = slope → Use point-slope equation

$\overline{){\mathbf{rate}}{\mathbf{=}}\frac{{\mathbf{y}}_{\mathbf{2}}\mathbf{-}{\mathbf{y}}_{\mathbf{1}}}{{\mathbf{x}}_{\mathbf{2}}\mathbf{-}{\mathbf{x}}_{\mathbf{1}}}}$

Rate at t = 75.0 mins:

$\mathbf{rate}\mathbf{=}\frac{\mathbf{1}\mathbf{.}\mathbf{36}\mathbf{-}\mathbf{1}\mathbf{.}\mathbf{58}}{\mathbf{107}\mathbf{.}\mathbf{0}\mathbf{-}\mathbf{53}\mathbf{.}\mathbf{0}}$

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Problem Details

The rate of disappearance of HCl was measured for the following reaction:

CH3OH(aq) + HCl(aq) CH3Cl(aq) + H2O(l)

The following data were collected:

 Time (min) [HCl] (M) 0.0 1.85 53.0 1.58 107.0 1.36 215.0 1.02 431.0 0.580

Determine the instantaneous rates in M/s at t = 75.0  min and t = 250  min.