A diatomic gas $(\gamma=1.4)$ does $100 \mathrm{~J}$ of work in an isobaric expansion. The heat given to the gas is :
  • A$350 \mathrm{~J}$
  • B$490 \mathrm{~J}$
  • C$150 \mathrm{~J}$
  • D$250 \mathrm{~J}$
JEE MAIN 2024, Diffcult
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
    What is the velocity of wave in monoatomic gas having pressure $1$ kilopascal and density $2.6\,kg/{m^3}$
    View Solution
  • 2
    A cubical box with porous walls containing an equal number of ${O_2}$ and $H_2$ molecules is placed in a large evacuated chamber. The entire system is maintained at constant temperature $T.$ The ratio of ${v_{rms}}$ of ${O_2}$ molecules to that of the ${v_{rms}}$ of $H_2$ molecules, found in the chamber outside the box after a short interval is
    View Solution
  • 3
    $N$ molecules each of mass $m$ of gas $A$ and $2N$ molecules each of mass $2m$ of gas $B$ are contained in the same vessel at temperature $T.$ The mean square of the velocity of molecules of gas $B$ is ${v^2}$ and the mean square of $x$ component of the velocity of molecules of gas $A$ is ${w^2}$. The ratio $\frac{{{w^2}}}{{{v^2}}}$ is
    View Solution
  • 4
    The molar heat capacity in a process of a diatomic gas if it does a work of $\frac{Q}{4}$ when a heat of $Q$ is supplied to it is
    View Solution
  • 5
    An object is placed in a medium of refractive index $3$. An electromagnetic wave of intensity $6 \times 10^8 \mathrm{~W} / \mathrm{m}^2$ falls normally on the object and it is absorbed completely. The radiation pressure on the object would be (speed of light in free space $=3 \times 10^8 \mathrm{~m} / \mathrm{s}$ ):
    View Solution
  • 6
    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?
    View Solution
  • 7
    A vessel is filled with an ideal gas at a pressure of $10$ atmospheres and temperature ${27}^\circ C$. Half of the mass of the gas is removed from the vessel and temperature of the remaining gas is increased to ${87}^\circ C$. Then the pressure of the gas in the vessel will be ...... $atm$
    View Solution
  • 8
    The number of air molecules per $\mathrm{cm}^3$ increased from $3 \times 10^{19}$ to $12 \times 10^{19}$. The ratio of collision frequency of air molecules before and after the increase in number respectively is $.........$
    View Solution
  • 9
    A container contains $32 \,g$ of $O _2$ at a temperature $T$. The pressure of the gas is $P$. An identical container containing $4 g$ of $H _2$ at a temperature $2 T$ has a pressure of ............
    View Solution
  • 10
    The specific heat of the mixture of two gases at constant volume is $\frac {13}{6}\,R$ . The ratio of number of moles of first gas to second is $1 : 2$. The respective gases may be
    View Solution