A very tall vertical cylinder is filled with a gas of molar mass $M$ under isothermal conditions at temperature $T.$ The density and pressure of the gas at the base of the container is $\rho_0$ and $p_0$, respectively Choose the correct statement $(s)$ if gravity is assumed to be constant throughout the container
Advanced
Download our appand 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.*
Similar Questions
- 1The mean free path of molecules of a certain gas at $STP$ is $1500\,d$, where $d$ is the diameter of the gas molecules. While maintaining the standard pressure, the mean free path of the molecules at $373\,K$ is approximately $..........\,d$View Solution
- 2The capacity of a vessel is $3$ litres. It contains $6 \,gm$ oxygen, $8\, gm$ nitrogen and $5\, gm$ $C{O_2}$ mixture at $27°C.$ If $R = 8.31\, J/mole$ $ \times $ $kelvin,$ then the pressure in the vessel in $N/{m^2}$ will be (approx.)View Solution
- 3For a gas if $\gamma = 1.4$, then atomicity, ${C_p}$ and ${C_v}$ of the gas are respectivelyView Solution
- 4View SolutionIf two moles of diatomic gas and one mole of mono atomic gas are mixed then the ratio of specific heats is
- 5For a diatomic gas change in internal energy for unit change in temperature for constant pressure and constant volume is ${U_1}$ and ${U_2}$ respectively. ${U_1}:{U_2}$ isView Solution
- 6A gas molecule of mass $M$ at the surface of the Earth has kinetic energy equivalent to $0\,^oC$. If it were to go up straight without colliding with any other molecules, how high it would rise? Assume that the height attained is much less than radius of the earth. ($k_B$ is Boltzmann constant)View Solution
- 7$N\,moles$ of a diatomic gas in a cylinder are at a temperature $T$. Heat is supplied to the cylinder such that the temperature remains constant but $n\,moles$ of the diatomic gas get converted into monoatomic gas. What is the change in the total kinetic energy of the gas ?View Solution
- 8The ratio of specific heats $(\gamma )$ of a ideal gas is given byView Solution
- 9$14 \,g$ of $CO$ at $27^{\circ} C$ is mixed with $16 g$ of $O _2$ at $47^{\circ} C$. The temperature of mixture is .......... $^{\circ} C$ (vibration mode neglected)View Solution
- 10In a thermally isolated system, two boxes filled with an ideal gas are connected by a valve. When the valve is in closed position, states of the box $1$ and $2$ respectively, are ( $1 \,atm , V, T)$ and $(0.5 \,atm , 4 V, T)$. When the valve is opened, then the final pressure of the system is approximately ............... $atm$View Solution