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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 ...... $kPa$
Figure shows the variation in temperature $\left( {\Delta T} \right)$ with the amount of heat supplied $(Q)$ in an isobaric process corresponding to a monoatomic $(M)$, diatomic $(D)$ and a polyatomic $(P)$ gas. The initial state of all the gases are the same and the scales for the two axes coincide. Ignoring vibrational degrees of freedom, the lines $a, b$ and $c$ respectively correspond to
At a given temperature if ${V_{rms}}$ is the root mean square velocity of the molecules of a gas and ${V_s}$ the velocity of sound in it, then these are related as $\left( {\gamma = \frac{{{C_P}}}{{{C_v}}}} \right)$
The expansion of an ideal gas of mass $m$ at a constant pressure $P$ is given by the straight line $B$. Then the expansion of the same ideal gas of mass $2\, m$ at a pressure $2\,P$ is given by the straight line
One kg of a diatomic gas is at a pressure of $8 × 10^4\ N/m^2$. The density of the gas is $4\ kg/m^3$. What is the energy of the gas due to its thermal motion ?
The molar specific heat of a gas as given from the kinetic theory is $\frac{5}{2} R$. If it is not specified whether it is $C _{ P }$ or $C _{ V }$, one could conclude that the molecules of the gas
The root mean square speed of molecules of a given mass of a gas at $27^{\circ} C$ and $1$ atmosphere pressure is $200\, ms ^{-1}$. The root mean square speed of molecules of the gas at $127^{\circ} C$ and $2$ atmosphere pressure is $\frac{ x }{\sqrt{3}}\, ms ^{-1} .$ The value of $x$ will be ......$ms ^{-1} .$
A gas mixture consists of molecules of type $1, 2$ and $3$, with molar masses ${m_1} > {m_2} > {m_3}.$ ${V_{rms}}$ and $\overline K $ are the $r.m.s.$ speed and average kinetic energy of the gases. Which of the following is true