In a thermally isolated system, two boxes filled with an ideal gas are connected by a valve. When the valve is in closed position, states of the box $1$ and $2$ respectively, are ( $1 \,atm , V, T)$ and $(0.5 \,atm , 4 V, T)$. When the valve is opened, then the final pressure of the system is approximately ............... $atm$
  • A$0.5$
  • B$0.6$
  • C$0.75$
  • D$1.0$
KVPY 2011, Diffcult
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