A closed container is fully insulated from outside. One half of it is filled with an ideal gas $X$ separated by a plate Pfrom the other half $Y$ which contains a vacuum as shown in figure. When $P$ is removed, $X$ moves into $Y$. Which of the following statements is correct?
ANo work is done by $ X$
B$X$ decreases in temperature
C$X$ increases in internal energy
D$X$ doubles in pressure
Medium
Download our app for free and get started
ANo work is done by $ X$
a Work done by a gas is given by$:$
$w=\int P d V$
Work done by $x$ is against vacuum, hence $P=0$
$w=\int P d V=\int 0 d V=0$
Hence no work is done by or done on $x$.
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.*
Half mole of an ideal monoatomic gas is heated at constant pressure of $1\, atm$ from $20\,^oC$ to $90\,^oC$. Work done by has is close to ..... $J$ (Gas constant $R = 8.31\, J/mol.K$)
Suppose ideal gas equation follows $V{P^3}$= constant. Initial temperature and volume of the gas are $T$ and $V$ respectively. If gas expand to $27V$ then its temperature will be come
A gas for which $\gamma = 1.5$ is suddenly compressed to $\frac{1}{4}$ th of the initial volume. Then the ratio of the final to the initial pressure is
An electric appliance supplies $6000\, {J} / {min}$ heat to the system. If the system delivers a power of $90\, {W}$. How long (in $sec$) it would take to increase the internal energy by $2.5 \times 10^{3}\, {J}$ ?
An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is $S_{1}$ and that of the other part is $S_{2}$. Given that $S _{1}> S _{2}$. If the piston is removed then the total entropy of the system will be :
Three moles of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperature in different states are: $T_1 = 400\, K, T_2 = 800\, K, T_3 = 2400\,K$ and $T_4 = 1200\,K.$ The work done by the gas during the cycle is ........ $kJ$
One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, $27\,^oC$.The work done on the gas will be