Five molecules of a gas are having speeds $1,2,4,8$ and $16\,m/s$ at some instant. The root mean square velocity of the gas molecules is ..... $m/s$
Medium
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 temperature of an open room of volume $30\ m^3$ increases from $17^o C$ to $27vC$ due to sunshine. The atmospheric pressure in the room remains $1 \times 10^5\ Pa$. Ifni and nr are the number of molecules in the room before and after heating, then $n_f-n_i$ will be :View Solution
- 2$1$ mole of gas occupies a volume of $100\, ml$ at $50\, mm$ pressure. What is the volume occupied by two moles of gas at $100\, mm$ pressure and at same temperature ..... $ml$View Solution
- 3Five moles of helium are mixed with two moles of hydrogen to form a mixture. Take molar mass of helium $M_1=4\ g$ and that of hydrogen $M_2=2\ g$ The equivalent value of $\gamma$ isView Solution
- 4$N\,moles$ 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
- 5The temperature of a gas having $2.0 \times 10^{25}$ molecules per cubic meter at $1.38 \mathrm{~atm}$ (Given, $\mathrm{k}=$ $\left.1.38 \times 10^{-23} \mathrm{JK}^{-1}\right)$ is :View Solution
- 6A closed cylindrical vessel contains $N$ moles of an ideal diatomic gas at a temperature $T$. On supplying heat, temperature remains same, but $n$ moles get dissociated into atoms. The heat supplied is .........View Solution
- 7The molecules of a given mass of a gas have a $r.m.s.$ velocity of $200\, m/sec$ at $27°C$ and $1.0 \times {10^5}\,N/{m^2}$ pressure. When the temperature is $127°C$ and pressure is $0.5 \times {10^5}\,N/{m^2}$, the $r.m.s.$ velocity in $m/sec$ will beView Solution
- 8The ratio of specific heats of a gas is $\frac{9}{7}$, then the number of degrees of freedom of the gas molecules for translational motion is :View Solution
- 9The air density at Mount Everest is less than that at the sea level. It is found by mountaineers that for one trip lasting a few hours, the extra oxygen needed by them corresponds to $30,000\, cc$ at sea level (pressure $1$ atmosphere, temperature $27°C$). Assuming that the temperature around Mount Everest is $-73°C$ and that the oxygen cylinder has capacity of $5.2 \,litre,$ the pressure at which ${O_2}$ be filled (at site) in cylinder is .... $atm$View Solution
- 10Aclosed vessel contains a mixture of two diatomic gases Aand $B$. Molar mass of Ais $16$ times that of $B$ and mass of gas $A$ contained in the vessel is $2$ times that of $B$. The following statements are givenView Solution
$(i)$Average kinetic energy per molecule of $A$ is equal to that of $B$.
$(ii)$ Root mean square value of translational velocity of $B$ is four times that of $A$.
$(iii)$ Pressure exerted by $B$ is eight times of that exerted by $A$.
$(iv)$ Number of molecules of $B$ in the cylinder is eight time that of $A$.