The speeds of $5$ molecules of a gas (in arbitrary units) are as follows : $2, 3, 4, 5, 6.$ The root mean square speed for these molecules is
  • A$2.91$
  • B$3.52$
  • C$4.00$
  • D$4.24$
Easy
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    Two non-reactive monoatomic ideal gases have their atomic masses in the ratio $2: 3$. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is $4: 3$. The ratio of their densities is:
    View Solution
  • 2
    A gas is allowed to expand isothermally. The root mean square velocity of the molecules
    View Solution
  • 3
    If radius of $O _{2}$ molecule $=40 \mathring A, T =27^{\circ} C$ and $P =1 \,atm .$ Find the time of relaxation.
    View Solution
  • 4
    Molar specific heat at constant volume is ${C_v}$ for a monoatomic gas is
    View Solution
  • 5
    A cylinder of fixed capacity of $44.8 \,litres$ contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by $20.0^{\circ} C$ will be ..............  $J$(Given gas constant $R =8.3 \,JK ^{-1}- moI ^{-1}$ )
    View Solution
  • 6
    The value of $PV/T$ for one mole of an ideal gas is nearly equal to ......... $J\, mol^{-1}K^{-1}$
    View Solution
  • 7
    Match the $\frac{C _{ P }}{ C _{ v }}$ ratio for ideal gases with different type of molecules
    Moleculae type $\frac{C _{ P }}{ C _{ v }}$
    $(A)$ Monoatomic $(I)$ $\frac{7}{ 5}$
    $(B)$ Diatomic rigid molecules $(II)$ $\frac{9}{7}$
    $(C)$ Diatomic non-rigid molecules $(III)$ $\frac{4}{3}$
    $(D)$ Triatomic rigid molecules $(IV)$ $\frac{5}{3}$
    View Solution
  • 8
    A diatomic gas $(\gamma=1.4)$ does $100 \mathrm{~J}$ of work in an isobaric expansion. The heat given to the gas is :
    View Solution
  • 9
    One mole of an ideal gas $\left( {\frac{{{C_P}}}{{{C_V}}}\, = \gamma } \right)$ heated by law $P=\alpha V$ where $P$ is pressure of gas, $V$ is volume, $\alpha$ is a constant what is the heat capacity of gas in the process-
    View Solution
  • 10
    A sample of gas is at $0°C.$ To what temperature it must be raised in order to double the $r.m.s.$ speed of the molecule ....... $^oC$
    View Solution