At temperature $T,$ the $r.m.s.$ speed of helium molecules is the same as $r.m.s.$ speed of hydrogen molecules at normal temperature and pressure. The value of $T$ is ....... $^oC$
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 container is divided into two equal parts $I$ and $II$ by a partition with a small hole of diameter $d$. The two partitions are filled with same ideal gas, but held at temperatures $T_{ I }=150 \,K$ and $T_{ II }=300 \,K$ by connecting to heat reservoirs. Let $\lambda_{1}$ and $\lambda_{1 I}$ be the mean free paths of the gas particles in the two parts, such that $d >> \lambda_{ I }$ and $d >> \lambda_{ II }$. Then, the $\lambda_{ I } / \lambda_{ II }$ is close to
The temperature of an ideal gas at atmospheric pressure is $300\,K$ and volume $1\,m^3$. If temperature and volume become double, then pressure will be
Let $\bar v , \bar v_{rms}$ and $v_p$ respectively denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monoatomic gas at absolute temperature $T$. The mass of the molecule is $m$. Then
Air is pumped into an automobile tube upto a pressure of $200\, kPa$ in the morning when the air temperature is $22°C.$ During the day, temperature rises to $42°C$ and the tube expands by $2\%.$ The pressure of the air in the tube at this temperature, will be approximately ...... $kPa$
The temperature of $5$ moles of a gas which was held at constant volume was changed from ${100^o}C$ to ${120^o}C$. The change in internal energy was found to be $80$ Joules. The total heat capacity of the gas at constant volume will be equal to ...... $J/K$
An electron tube was sealed off during manufacture at a pressure of $1.2 \times {10^{ - 7}}$ $mm$ of mercury at $27°C.$ Its volume is $100\, cm^3$. The number of molecules that remain in the tube is
The following graph represents the $T-V$ curves of an ideal gas (where $T$ is the temperature and $V$ the volume) at three pressures $P_1, P_2$ and $P_3$ compared with those of Charles's law represented as dotted lines.
At a certain temperature, the $r.m.s.$ velocity for ${O_2}$ is $400\, m/sec.$ At the same temperature, the $r.m.s.$ velocity for ${H_2}$ molecules will be ....... $m/sec$