Question:
A vessel of volume 2000 cc is filled with 5 moles of an ideal gas at a temperature of \(127^\circ C\). The total kinetic energy of the gas in the vessel is:
A vessel of volume 2000 cc is filled with 5 moles of an ideal gas at a temperature of \(127^\circ C\). The total kinetic energy of the gas in the vessel is:
Show Hint
For an ideal gas:
\[
K=\frac32nRT.
\]
The volume of the container does not affect the total kinetic energy.
Updated On: Jun 18, 2026
- \(6000R\)
- \(3000R\)
- \(1000R\)
- \(1500R\)
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
Total kinetic energy of an ideal gas is
\[
K=\frac32 nRT.
\]
Step 1: Convert temperature into Kelvin.
\[ T=127+273=400K. \]
Step 2: Substitute values.
\[ K = \frac32(5)R(400). \] \[ = 3000R. \] Hence \[ \boxed{3000R}. \]
Step 1: Convert temperature into Kelvin.
\[ T=127+273=400K. \]
Step 2: Substitute values.
\[ K = \frac32(5)R(400). \] \[ = 3000R. \] Hence \[ \boxed{3000R}. \]
Was this answer helpful?
0
0
Top TS EAMCET Physics Questions
- A wooden box lying at rest on an inclined surface of a wet wood is held at static equilibrium by a constant force $F$ applied perpendicular to the incline. If the mass of the box is $1\,kg$, the angle of inclination is $30^{\circ}$ and the coefficient of static friction between the box and the inclined plane is $0.2$, the minimum magnitude of $\vec{F}$ is (Use $ g = 10\,m/s^2$)
- A metre scale made of steel reads accurately at $25^{\circ} C$ . Suppose in an experiment an accuracy of $0.06\, mm$ in $1\,m$ is required, the range of temperature in which the experiment can be performed with this metre scale is (coefficient of linear expansion of steel is $ 11 \times 10^{-6} /^{\circ} \, C$ )
- Consider a solenoid carrying current supplied by a DC source with a constant emf containing iron core inside it. When the core is pulled out of the solenoid, the change in current will
- A parallel beam of light of intensity \(I_0\) is incident on a coated glass plate. If \(25\%\) of the incident light is reflected from the upper surface and \(50\%\) of light is reflected from the lower surface of the glass plate, the ratio of maximum to minimum intensity in the interference region of the reflected light is
- A thermocol box has a total wall area (including the lid) of $1.0 m ^{2}$ and wall thickness of $3 cm$. It is filled with ice at $0^{\circ} C$. If the average temperature outside the box is $30^{\circ} C$ throughout the day, the amount of ice that melts in one day is [Use $K_{\text {thermocol }}=0.03 W / mK$ $.L_{\text {fusion (ice) }}=3.00 \times 10^{5} J / kg ]$
View More Questions
Top TS EAMCET The Kinetic Theory of Gases Questions
- The pressure of a mixture of 64 g of oxygen, 28 g of nitrogen and 132 g of carbon dioxide gases in a closed vessel is P. Under isothermal conditions if entire oxygen is removed from the vessel, the pressure of the mixture of remaining two gases is
- If the rms speed of the molecules of a gas at a temperature of 77 $^\circ$C is 50 ms$^{-1}>$, then the rms speed of the same gas molecules at a temperature of 150.5 $^\circ$C is
- The ratio of the average translational kinetic energies of hydrogen and oxygen at the same temperature is
- \(5\) moles of monoatomic gas and one mole of rigid diatomic gas are mixed. The internal energy at temperature \(127^\circ C\) is (Given \(R=8.31Jmol^{-1}K^{-1}\))
- If a capillary tube of inner radius \(0.5mm\) is immersed vertically in water, then mass of water risen in capillary tube is (Surface tension \(=0.07Nm^{-1}\), \(g=10ms^{-2}\))
View More Questions
Top TS EAMCET Questions
- A bag contains $5$ red balls, $3$ black balls and $4$ white balls are drawn at random. The probability that they are not of same colour is
- If $cosec\, \theta - \cot \theta = 2017$, then quadrant in which $\theta $ lies is
- If $a$ is a unit vector, then $| a \times \hat{ i }|^{2}+| a \times \hat{ j }|^{2}+| a \times \hat{ k }|^{2}=$
- $A$ straight line makes an intercept on the $Y$-axis twice as long as that on $X$-axis and is at a unit distance from the origin. Then the line is represented by the equations
- Let $S$ and $S'$ be the foci of an ellipse and B be one end of its minor axis. If $SBS'$ is an isosceles right angled triangle then the eccentricity of the ellipse is
View More Questions