MHT-CET Kinetic Theory — practice questions
28 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice MHT-CET Kinetic Theory in the app →The ideal gas equation is:The relation between universal gas constant $R$, Avogadro number $N_A$, and Boltzmann constant $k_B$ is:The **mean free path** of a gas molecule is:The pressure of an ideal gas in kinetic theory is given by:The **rms speed** of gas molecules at absolute temperature $T$ is:Average translational kinetic energy of a gas molecule at temperature $T$ is:The **law of equipartition of energy** states that, at temperature $T$, each quadratic degree of freedom contrNumber of degrees of freedom (DOF) of a monatomic gas (e.g. helium) molecule:Mayer's relation for an ideal gas is:**Adiabatic ratio** $\gamma$ of a gas is defined as:Number of degrees of freedom of a **rigid diatomic molecule** (e.g. O₂ at room temperature, vibrations not excIf vibrations are excited, a diatomic molecule has DOF:For a monatomic ideal gas, $C_V$ and $C_P$ per mole are:For a **rigid diatomic** ideal gas, $\gamma = C_P/C_V$ equals:The rms speed of N₂ at 300 K (M = 28 g/mol) is approximately (use $R = 8.314$ J/(mol·K)):If the temperature of a gas is doubled (at constant volume), the rms speed changes by a factor of:Average translational KE of a He atom at 300 K is approximately ($k_B = 1.38 \times 10^{-23}$ J/K):Mean free path of nitrogen at STP (d = 324 pm) is approximately:If P is doubled at constant T (compress gas isothermally), the mean free path:An ideal gas is held in a container at temperature T. The total internal energy of one mole of a monatomic gasFor a diatomic gas with all vibrational modes excited, the molar specific heat at constant volume is:The ratio of average KE of a monatomic gas to that of a rigid diatomic gas, at the **same T**, is:Velocity of sound in an ideal gas is $v_s = qrt{\gamma RT/M_0}$. Compared to rms speed, $v_s$:The rms speed of helium atom at 300 K is approximately (M_He = 4 g/mol):The internal energy of 2 moles of nitrogen gas (rigid diatomic) at 300 K is approximately ($R = 8.314$):Two ideal gases A (monatomic) and B (rigid diatomic) at same T are mixed in equal moles. The effective $\gammaIf the mean free path of N₂ at 1 atm is ~80 nm, what is it at 0.01 atm (same T)?The number of moles of oxygen ($O_2$) gas in a vessel of volume 1 L at STP (273.15 K, 1.013 × 10⁵ Pa) is appro