One litre of water is kept in a closed two litre vessel at temperature T with no air in the space above the liquid (System-1). Another identical system is prepared but there is air above the liquid (System-2). Assuming water vapour and air to behave as ideal gases and water to be in equilibrium with the vapour above the liquid, the correct statements are [Multi-correct Question]
(1) The pressure of water vapour in System 1 increases linearly with T.
(2) The partial pressure of water vapour in System 2 is same as the pressure in System 1.
(3) The total pressure of gas (water vapour and air) in System 2 increases non-linearly with T.
(4) The pressure of water vapour in System 1 increases non-linearly with T.
[Ans:(2),(3),(4)]