A gas is enclosed in a room. The temperature, pressure, density and the number of moles respectively are `t^@C, p " atm, d g " cm^(-3)` and n moles.
What will be the pressure, temperature, density and number of moles in each compartment if the room is partitioned into four equal compartments ?

Explanation

When the wall between compartments 1 and 2 is removed :
Pressure = p atm. This is because the number of moles and volume of gas will increase to the same extent, i.e., will get doubled.
Density = dg `cm^(-3)` . Density of the gas remains unchanged because both mass and volume get doubled.
Number of moles = `n/4+n/4=n/2`.