# A gas is enclosed in room

#1

A gas is enclosed in room. The temperature, pressure, density and number of moles respectively are t°C, p atm, d g \$c{{m}^{-3}}\$ and n moles.
(i) What will be the pressure, temperature, density and number of moles in each compartment’ if room is partitioned into four equal compartments?
(ii) What will be the values of pressure, temperature, density and number of moles in each compartment if the walls between the two compartments (say 1 and 2) are removed?
(iii) What wilt be the values of pressure, temperature, density and number of moles, if an equal volume of gas at pressure p and temperature t is let inside the same room?

#2

(i) (a) Pressure in each compartment is same, p .
(b) Temperature will remain same (t °C).
© Density will remain same (d g \$c{{m}^{-3}}\$ ).
(d) Because of partition, volume of each compartment becomes 1/4 and the number of molecules also - become 1/4. The number of moles in each compartment will be n/4.
(ii) (a) Pressure will remain same (p atm).
(b) Temperature will remain same (t °C).
© Density will remain same (d g \$c{{m}^{-3}}\$).
(d) The number of moles in each compartment will be n/2
(iii) (a) Pressure will be doubled (2p atm).
(b) Temperature will remain same.
© Density will be doubled (2d g \$c{{m}^{-3}}\$)
(d) Number of moles will be doubled i.e., 2n.