The isobars of one mole of an ideal gas were obtained at three different pressures ($p_1$,$p_2$ and $p_3$). The slopes of these isobars are $m_1$,$m_2$ and $m_3$ respectively. If $p_1 < p_2 < p_3$,then the correct relation of the slopes is

At temperature $T$,$1$ mole of $O_2$ gas (molar mass $32 \ g/mol$) is present in a container,exerting a pressure $P$. If $1$ mole of $He$ gas (molar mass $4 \ g/mol$) is placed in an identical container at temperature $2T$,what will be the pressure exerted by the $He$ gas?

Consider the figure provided. $1 \ mol$ of an ideal gas is kept in a cylinder,fitted with a piston,at the position $A$,at $18^{\circ} C$. If the piston is moved to position $B$,keeping the temperature unchanged,then '$x$' $L \ atm$ work is done in this reversible process. $x=$ . . . . . . $L \ atm$. (nearest integer) [Given : Absolute temperature $=^{\circ} C + 273.15$,$R=0.08206 \ L \ atm \ mol^{-1} \ K^{-1}$]

Two vessels are filled with ideal gases $A$ and $B$ and are connected through a pipe of zero volume as shown in the figure. The stop cock is opened and the gases are allowed to mix homogeneously and the temperature is kept constant. The partial pressures of $A$ and $B$ respectively (in $atm$) are:

On a ship sailing in the Pacific Ocean where the temperature is $23.4^{\circ} C$,a balloon is filled with $2 \ L$ of air. What will be the volume of the balloon when the ship reaches the Indian Ocean,where the temperature is $26.1^{\circ} C$ (in $L$)?

The volume-temperature graphs of a given mass of an ideal gas at different constant pressures are shown below. What is the correct order of pressures?