Physics Question from JEE Main 2025 · 4 April, Shift 2

There are two vessels filled with an ideal gas where volume of one is double the volume of the other. The large vessel contains the gas at $8 \, \text{kPa}$ at $1000 \, \text{K}$ while the smaller vessel contains the gas at $7 \, \text{kPa}$ at $500 \, \text{K}$. If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at $600 \, \text{K}$, at steady state the pressure in the vessels will be (in $\text{kPa}$).