At `100^(@)C` the gaseous reaction `A rarr 2B + C` was observed to be of first order. On starting with pure A it is found that at the end of 10 minutes the total pressure of system is 176 mm. Hg and after a long time 270 mm Hg. From these data find (a) initial pressure of A (b) the pressure of A at the end of 10 minutes (c) the specific rate of reaction and (d) the half life period of the reaction ?

Explanation

To solve the problem step by step, we will analyze the given information and apply the principles of chemical kinetics.

### Given Data:
- Reaction: \( A \rightarrow 2B + C \)
- Total pressure after 10 minutes, \( P_t = 176 \, \text{mm Hg} \)
- Total pressure at infinite time, \( P_{\infty} = 270 \, \text{mm Hg} \)

### Step 1: Determine the Initial Pressure of A (\( P_i \))
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