The temperature of $3.00\, {mol}$ of an ideal diatomic gas is increased by $40.0^{\circ} {C}$ without changing the pressure of the gas. The molecules in the gas rotate but do not oscillate. If the ratio of change in internal energy of the gas to the amount of workdone by the gas is $\frac{{x}}{10} .$ Then the value of ${x}$ (round off to the nearest integer) is ..... . $\left(\right.$ Given $\left.{R}=8.31\, {J} {mol}^{-1} {K}^{-1}\right)$
  • A$25$
  • B$2.5$
  • C$125$
  • D$250$
JEE MAIN 2021, Medium
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
    The internal energy of an ideal gas depends upon
    View Solution
  • 2
    An ideal gas undergoes a thermodynamics cycle as shown in figure. Which of the following graphs represents the same cycle?
    View Solution
  • 3
    The $P-V$ diagram of a system undergoing thermodynamic transformation is shown in figure. The work done on the system in going from $A → B → C$ is $50 J$ and $ 20\, cal$ heat is given to the system. The change in internal energy between $A$ and $C$ is ...... $J$
    View Solution
  • 4
    Slope of isotherm for a gas (having $\gamma=\frac{5}{3}$ ) is $3 \times 10^5 \,N / m ^2$. If the same gas is undergoing adiabatic change then adiabatic elasticity at that instant is ........... $\times 10^5 N / m ^2$
    View Solution
  • 5
    A cyclic process $ABCDA$ is shown in the $P-V$ diagram. Which of the following curves represent the same process
    View Solution
  • 6
    A thermodynamic system undergoes cyclic process $ABCDA $ as shown in figure. The work done by the system in the cycle is
    View Solution
  • 7
    Two gases have the same initial pressure, volume and temperatue. They expand to the same final volume, one adiabatically and the other isothermally, if the two gases are compressed to the same final volume
    View Solution
  • 8
    The efficiency of the cycle shown below in the figure (consisting of one isobar, one adiabat and one isotherm) is $50 \%$. The ratio $x$, between the highest and lowest temperatures attained in this cycle obeys (the working substance is an ideal gas)
    View Solution
  • 9
    A  refrigerator works between $4^o C$ and $30^o C.$  It is required to remove $600$ calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is ....... $W$ (Take $1\, cal \,=\, 4.2\, Joules\,)$ 
    View Solution
  • 10
    Four curves $A, B, C$ and $D$ are drawn in the adjoining figure for a given amount of gas. The curves which represent adiabatic and isothermal changes are
    View Solution