A graph that indicates changes in pressure with respect to volume within the cylinder of a reciprocating engine is known as an indicator diagram. Only one option shows a graph between pressure and volume.
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A $25\times10^{-3}\, m^3$ volume cylinder is filled with $1\, mol$ of $O_2$ gas at room temperature $(300\, K)$. The molecular diameter of $O_2$, and its root mean square speed, are found to be $0.3\, nm$ and $200\, m/s$, respectively. What is the average collision rate (per second) for an $O_2$ molecule?
A monoatomic gas of mass $4.0\, u$ is kept in an insulated container. Container is moving with velocity $30 \,m / s$. If container is suddenly stopped then change in temperature of the gas $\left( R =\right.$ gas constant) is $\frac{ x }{3 R } .$ Value of $x$ is ..........
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 $n$ moles of an ideal gas at equal temperature $T.$ If the piston is stationary, its mass, $m,$ will be given by: ( $R$ is universal gas constant and $g$ is the acceleration due to gravity)
$Assertion :$ The root mean square and most probable speeds of the molecules in a gas are the same.
$Reason :$ The Maxwell distribution for the speed of molecules in a gas in symmetrical.
One mole of an ideal gas at $STP$ is heated in an insulated closed container until the average speed of its molecules is doubled. Its pressure would therefore increase by factor.