An ideal gas has $N$ molecules in a closed box at temperature $T_1$ and pressure $P_1$. If the number of molecules in the box is doubled and the total kinetic energy is kept the same,what will be the new pressure $P_2$ and temperature $T_2$?
- A$P_2 = P_1, T_2 = T_1$
- B$P_2 = P_1, T_2 = T_1/2$
- C$P_2 = 2P_1, T_2 = T_1$
- D$P_2 = 2P_1, T_2 = T_1/2$
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