$A$ $10 \ L$ vessel contains $1 \ mole$ of an ideal gas with pressure of $P \ atm$ and temperature of $T \ K$. The vessel is divided into two equal parts. The pressure (in $atm$) and temperature (in $K$) in each part is respectively:
- A$\frac{P}{2}, \frac{T}{2}$
- B$\frac{P}{2}, T$
- C$P, T$
- D$P, \frac{T}{2}$
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