The reaction given below is observed to be first order with rate constant `7.8xx10^(-3)" sec"^(-1)`. Calculate the time required for the total pressure in a system containing `A` at an initial pressure of `0.1` atm to rise to `0.145` atm and also find the total pressure after `100` sec.
`2 A(g) rarr 4B (g) + C(g)`

Explanation

To solve the problem step by step, we will follow the process outlined in the video transcript while providing a clear explanation for each step.

### Step 1: Understanding the Reaction
The reaction is given as:
\[ 2A(g) \rightarrow 4B(g) + C(g) \]

We start with an initial pressure of \( P_0 = 0.1 \, \text{atm} \) for gas \( A \). As the reaction proceeds, the pressure of \( A \) decreases while the pressures of \( B \) and \( C \) increase.

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