The decomposition of `Cl_2O_7" at "` 400 K in the gas phase to `Cl_2 and O_2` is a first order reaction. after 55 seconds at 400K, the pressure of Cl_2 falls from 0.062 atm to 0.044 atm. Calculate the rate constant
Calculate the pressure of `Cl_2O_7` after 100 sec of decomposition at this temperature.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the rate constant (k) for the reaction.

Given:
- Initial pressure of Cl₂O₇ (P₀) = 0.062 atm
- Pressure after 55 seconds (Pₜ) = 0.044 atm
- Time (t) = 55 seconds
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