Three different processes that can occur in an ideal monoatomic gas are shown in the $P$ vs $V$ diagram. The paths are labelled as $A \rightarrow B, A \rightarrow C$ and $A \rightarrow D .$ The change in internal energies during these process are taken as $E _{ AB }, E _{ AC }$ and $E _{ AD }$ and the work done as $W _{ AB }$ $W _{ AC }$ and $W _{ AD }$
The correct relation between these parameters are
JEE MAIN 2020, Diffcult
Download our app for free and get started
$\Delta U = nC _{ v } \Delta T =$ same
$AB \rightarrow$ volume is increasing $\Rightarrow W >0$
$AD \rightarrow$ volume is decreasing $\Rightarrow W <0$
$AC \rightarrow$ volume is constant $\Rightarrow W =0$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A certain amount of gas of volume $V$ at $27^{o}\,C$ temperature and pressure $2 \times 10^{7} \;Nm ^{-2}$ expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets redoubled. The final pressure of the gas will be (Use $\gamma=1.5$ )
$100\ g$ of water is heated from $30^o\ C$ to $50^o\ C$ Ignoring the slight expansion of the water, the change in its internal energy is ...... $kJ$ (specific heat of water is $4184\ J/kg/K$)
A certain mass of gas at $273 K$ is expanded to $81$ times its volume under adiabatic condition. If $\gamma = 1.25$ for the gas, then its final temperature is ..... $^oC$
In following figures $(a)$ to $(d)$, variation of volume by change of pressure is shown in figure. The gas is taken along the path $A B C D A$. Change in internal energy of the gas will be .......
An ideal gas is taken reversibly around the cycle $a-b-c-d-a$ as shown on the temperature $T$ - entropy $S$ diagram. The most appropriate representation of above cycle on a internal energy $U$ - volume $V$ diagram is