🤓 Based on our data, we think this question is relevant for Professor Giblin's class at CSUF.

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

$\overline{){\mathbf{r}}{\mathbf{a}}{\mathbf{t}}{\mathbf{e}}{\mathbf{=}}\frac{\mathbf{\u2206}\left[\right]}{\mathbf{\u2206}\mathbf{t}}}$

Graphically, **rate = slop**e → 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**:

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

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

CH_{3}OH(aq) + HCl(aq) CH_{3}Cl(aq) + H_{2}O(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.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Instantaneous Rate of Change concept. If you need more Instantaneous Rate of Change practice, you can also practice Instantaneous Rate of Change practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Giblin's class at CSUF.