Two vessels having equal volume contains molecular hydrogen at one atmosphere and helium at two atmospheres respectively. If both samples are at the same temperature, the mean velocity of hydrogen molecules is
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The lowest pressure (the best Vacuum) that can be created in the laboratory at $27$ degree is $10^{-11} \;{mm}$ of $Hg$. At this pressure, the number of ideal gas molecules per ${cm}^{3}$ will be
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
A container $X$ has volume double that of contianer $Y$ and both are connected by a thin tube. Both contains same ideal gas. The temperature of $X$ is $200\,\,K$ and that of $Y$ is $400\,\,K$. If mass of gas in $X$ is $m$ then in $Y$ it will be:
The temperature $(T)$ of one mole of an ideal gas varies with its volume $(V)$ as $T=-\alpha V^3+\beta V^2$, where $\alpha$ and $\beta$ are positive constants. The maximum pressure of gas during this process is ............
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 ....... $^oC$