Behaviour of Perfect Gas and Kinetic Theory — Prelims Questions

A gas at $27^circ\text{C}$ and $1,\text{atm}$ pressure has a volume of $10,\text{L}$. If its temperature is increased to $127^circ\text{C}$ and pressure to $2,\text{atm}$, what will be the new volume of the gas?

According to the Kinetic Theory of Gases, which of the following statements is INCORRECT?

The RMS speed of hydrogen molecules at a certain temperature is $v$. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, what will be the new RMS speed?

For a monoatomic gas, the ratio of specific heats ($gamma$) is:

Two containers A and B are filled with the same gas. If the pressure, volume, and temperature of gas in A are $P, V, T$ respectively, and in B are $2P, V/2, 2T$ respectively, then the ratio of the number of molecules in A to that in B is:

A gas has 5 degrees of freedom. What is the molar specific heat at constant pressure ($C_P$) for this gas?