Two closed vessels of equal volune contain air at 105kPa, 300K and are connected through a narrow tube. If one of the vessels is mow maintained at 300K and the other at 400K, what will be the pressure in the vessels?

Explanation

To solve the problem step by step, we will use the ideal gas law and the concept of equilibrium in connected vessels.

### Step 1: Understand the Initial Conditions
We have two closed vessels of equal volume containing air at an initial pressure \( P_0 = 105 \, \text{kPa} \) and temperature \( T_0 = 300 \, \text{K} \). One vessel is maintained at \( T_0 = 300 \, \text{K} \) and the other at \( T' = 400 \, \text{K} \).

### Step 2: Define Variables
Let:
- \( P' \) = final pressure in both vessels after equilibrium
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