We’re being asked to **solve graphically the instantaneous rate** in **M/s**** at t = 5000 s** based on the data for the isomerization of methyl isonitrile (CH_{3}NC) to acetonitrile (CH_{3}CN).

An **instantaneous reaction rate** is the rate at a particular moment in the reaction and is usually determined graphically and can be calculated as:

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

Δ[ ] = change in concentration

Δt = change in time

To do so, we will **make a graph** of the **concentration of CH _{3}CN in M (y-axis) vs. time in s (x-axis)**

The isomerization of methyl isonitrile (CH_{3}NC) to acetonitrile (CH_{3}CN) was studied in the gas phase at 215 ^{o}C, and the following data were obtained:

Time (s) | [CH_{3}NC] (M) |

0 | 0.0165 |

2000 | 0.0110 |

5000 | 0.00591 |

8000 | 0.00314 |

12000 | 0.00137 |

15000 | 0.00074 |

Solve graphically the instantaneous rate in M/s at t = 5000 s.

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 Deshmukh's class at UCSD.