Question:
Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will
increase
decrease
remain same
decrease for some, while increase for others
Question of from chapter.
JEE Main Previous Year 2002
Correct Option: 3
Solution:
Related Questions
The number density of molecules of a gas depends on their distance $r$ from the origin as,$n(r)=n_{0} e^{-\alpha r 4}$. Then the total number of molecules is proportional to:
A vertical closed cylinder is separated into two parts by a frictionless piston of mass $m$ and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is $l_{1}$, and that below the piston is $l_{2}$, such that $l_{1}>l_{2}$. Each part of the cylinder contains $\mathrm{n}$ moles of an ideal gas at equal temperature T. If the piston is stationary, its mass, $m$, will be given by: $(\mathrm{R}$ is universal gas constant and $\mathrm{g}$ is the acceleration due to gravity)
The temperature of an open room of volume $30 \mathrm{~m}^{3}$ increases from $17^{\circ} \mathrm{C}$ to $27^{\circ} \mathrm{C}$ due to sunshine. The atmospheric pressure in the room remains $1 \times 10^{5} \mathrm{~Pa}$. If $n_{i}$ and $n_{f}$ are the number of molecules in the room before and after heating, then $n_{f}-n_{i}$ will be :
For the P-V diagram given for an ideal gas,
out of the following which one correctly represents the T-P diagram?
There are two identical chambers, completely thermally insulated from surroundings. Both chambers have a partition wall dividing the chambers in two compartments. Compartment 1 is filled with an ideal gas and Compartment 3 is filled with a real gas. Compartments 2 and 4 are vacuum. A small hole (orifice) is made in the partition walls and the gases are allowed to expand in vacuum.
Statement-1: No change in the temperature of the gas takes place when ideal gas expands in vacuum. However, the temperature of real gas goes down (cooling) when it expands in vacuum.
Statement-2: The internal energy of an ideal gas is only kinetic. The internal energy of a real gas is kinetic as well as potential.
Number of molecules in a volume of $4 \mathrm{~cm}^{3}$ of a perfect monoatomic gas at some temperature $T$ and at a pressure of $2 \mathrm{~cm}$ of mercury is close to? (Given, mean kinetic energy of a molecule (at T) is $4 \times 10^{-14} \mathrm{erg}, g=980 \mathrm{~cm} / \mathrm{s}^{2}$, density of mercury $=13.6 \mathrm{~g} / \mathrm{cm}^{3}$ )
For a given gas at $1 \mathrm{~atm}$ pressure, rms speed of the molecules is $200 \mathrm{~m} / \mathrm{s}$ at $127^{\circ} \mathrm{C}$. At $2 \mathrm{~atm}$ pressure and at $227^{\circ} \mathrm{C}$, the rms speed of the molecules will be:
If $10^{22}$ gas molecules each of mass $10^{-26} \mathrm{~kg}$ collide with a surface (perpendicular to it) elastically per second over an area $1 \mathrm{~m}^{2}$ with a speed $10^{4} \mathrm{~m} / \mathrm{s}$, the pressure exerted by the gas molecules will be of the order of:
The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is closest to:
[Boltzmann Constant $k_{\mathrm{B}}=1.38 \times 10^{-23} \mathrm{~J} / \mathrm{K}$
Avogadro Number $\mathrm{N}_{\mathrm{A}}=6.02 \times 10^{26} / \mathrm{kg}$
Radius of Earth : $6.4 \times 10^{6} \mathrm{~m}$
Gravitational acceleration on Earth $=10 \mathrm{~ms}^{-2}$ ]
A mixture of 2 moles of helium gas (atomic mass $=4 \mathrm{u}$ ), and 1 mole of argon gas (atomic mass $=40 \mathrm{u}$ ) is kept at $300 \mathrm{~K}$ in a container. The ratio of their rms speeds
$\left[\frac{\mathrm{V}_{\mathrm{rms}}(\text { helium })}{\mathrm{V}_{\mathrm{rms}}(\operatorname{argon})}\right]$ is close to :
