Given below are two statements:
Statements $I:$ The temperature of a gas is $-73^{\circ}\,C$. When the gas is heated to $527^{\circ}\,C$, the root mean square speed of the molecules is doubled.
Statement $II:$ The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
In the light of the above statements, choose the correct answer from the options given below :
JEE MAIN 2023, Medium
Download our appand 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
- 1The temperature of a gas is $-50^{\circ}\,C$. To what temperature the gas should be heated so that the rms speed is increased by $3$ times?View Solution
- 2One litre of Helium gas at a pressure $76\, cm$ of $Hg$ and temperature ${27}^\circ$ is heated till its pressure and volume are doubled. The final temperature attained by the gas is ..... $^oC$View Solution
- 3An ideal gas filled in a cylinder occupies volume $V$. The gas is compressed isothermally to the volume $V/3$. Now, the cylinder valve is opened and the gas is allowed to leak keeping temperature same. What percentage of the number of molecules should escape to bring the pressure in the cylinder back to its original value?View Solution
- 4A closed hollow insulated cylinder is filled with gas at ${0^o}C$ and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to ${100^o}C.$ If the piston moves $5\,cm,$ the length of the hollow cylinder is ..... $cm$View Solution
- 5For $a$ gas $C_{p}-C_{V}=R$ in a state $P$ and $C_{p}-C_{V}=1.10 R$ in a state $Q, T_{p}$ and $T_{Q}$ are the temperatures in two different states $P$ and $Q$ respectively. ThenView Solution
- 6View SolutionThe number of translational degrees of freedom for a diatomic gas is
- 7At a given temperature if ${V_{rms}}$ is the root mean square velocity of the molecules of a gas and ${V_s}$ the velocity of sound in it, then these are related as $\left( {\gamma = \frac{{{C_P}}}{{{C_v}}}} \right)$View Solution
- 8View SolutionThat gas cannot be liquified
- 9View SolutionThree vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic), the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct statement, among the following is
- 10A balloon contains $1500 \,m^3$ of helium at $27^\circ C$ and $4$ atmospheric pressure. The value of helium at $ - \,3^\circ C$ temperature and $2$ atmospheric pressure will be ...... $m^3$View Solution