Thermodynamics ...

A closed container is fully insulated from outside. One half of it is filled with an ideal gas X separated by a plate P from the other half Y which contains a vacuum as shown in figure. When O is removed , X moves into Y . Which of the following statements is correct

An ideal gas is taken from point A to point C on P-V diagram through two process AOC and ABC as shown in the figure . Process AOC is isothermic

Gas in cylinder with light piston is slowly heated till all the mercury spills over.
$$ {P} _{atm}  = 76\ cm $$ of Hg column 
Statement 1 : The temperature of gas continuously increases.
Statement 2: According to first law of thermodynamics $$dQ = dU + dW$$ where symbols have their usual meaning.

A process shown is shown in diagram. which of the following curves may represent the same process

How are C$$_1$$ and C$$_2$$ related?

The first law of thermodynamics can be written as $$\Delta U$$ =  q +w  for an ideal gas. Which of the following statements is correct?

For a monoatomic ideal gas undergoing an adiabatic change, the relation between temperature and volume $$ TV^x =constant $$ where $$x$$ is :

The initial pressure of a gas is $$P$$. It is kept in an insulated container and suddenly its volume is reduced to one-third. Its final pressure will be

A liquid boils at such a temperature at which the saturated vapour pressure, as compared to atmospheric pressure, is 

Two samples of a gas A and B, initially at same temperature and pressure, are compressed to half their initial volume, A isothermally and B adiabatically. The final pressure in the two cases is related as