For an ideal gas number of moles per litre in terms of its pressure `P` gas contant `R` and temperature `T` is .

Explanation

(a)
(i) Pressure in each compartment is same, p. Because of partition, volume of each compartment becomes 1/4 and the number of molecules also become 1/4.
(ii) Temperature will remain same `(t^(@)C)`
(iii) Density will remain same `("d g cm"^(-3))`
(iv) The number of moles in each compartment will be `n//4.`
(b) (i) Pressure will remain same (p atm)
(ii) Temperature will remain same `(t^(@)C)`
(iii) Density will remain same `("d g cm"^(-3))`
(iv) the number of moles in each compartment will by `n//2.`
(c ) (i) Pressure will be doubled (2p atm)
(ii) Temperature will remain same.
(iii) Density will be doubled `("2d g cm"^(-3))`
(iv) Number of moles will be doubled, i.e. 2n.