Home
Class 11
PHYSICS
During an experiment, an ideal gas is fo...

During an experiment, an ideal gas is found to obey a condition `(p^2)/(rho) = "constant"`. (`rho` = density of the gas). The gas is initially at temperature (T), pressure (p) and density `rho`. The gas expands such that density changes to `rho//2`.

A

The pressure of the gas changes to `sqrt(2) p`.

B

The temperature of the gas changes to `sqrt(2) T`

C

The graph of the above process on (p - T) diagram is parabola.

D

The graph of the above process on (p - T) diagram is hyperbola.

Text Solution

Verified by Experts

The correct Answer is:
B, D

`p prop sqrt (rho)` as per process. If `rho` becomes half, then (p) will becomes `sqrt (2)` times.
Futher, ` p prop (1) /(V)`
`:. (p^2)/((1//V)) =` constant
or `(pV) p =` constnat
Hence, ` Tp =` constant
`:. p prop (1)/(T)`
or (P - T) graph is a rectangular hyperbola.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 2 Subjective|9 Videos
  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 2 Single Correct|12 Videos
  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Medical entrance gallary|30 Videos
  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos

Similar Questions

Explore conceptually related problems

During an experiment, an ideal gas is found to obey an additional law pV^(2) =constant. The gas is initially at a temperature T and volume V. Find the temperature when it expands to a volume 2V.

During an experiment, an ideal gas is found to obey an additional law p//V^(2) = constant. The gas is initially at a temperature T and volume V . Find the temperature when it expands to a volume 2V .

Knowledge Check

  • During an experiment, an ideal gas is found to obey a condition Vp^2 = constant. The gas is initially at a temperature (T), pressure (p) and volume (V). The gas expands to volume (4V).

    A
    The pressure of gas changes to `(p)/(2)`
    B
    The temperature of the gas changes to `4 T`
    C
    The graph of the above process on (p - T) diagram is parabola.
    D
    The graph of the above process on (p - T) diagram is hyperbola.
  • During an experiment an idea gas is found to obey an additional gas law VT = constant. The gas is initially at temperature T and pressure P . When it is heated to the temperature 2T , the resulting pressure is

    A
    `2P`
    B
    `P//2`
    C
    `4P`
    D
    `P//4`
  • During experiment an ideal gas is found to obey an additional law VP^(2)= constant. The gas is initially at temperature T and volume V, when it expands to volume 2V, the resulting temperature is

    A
    `(T)/(2)`
    B
    `2T`
    C
    `sqrt(2)T`
    D
    `(T)/(sqrt(2))`
  • Similar Questions

    Explore conceptually related problems

    During an experiment an ideal gas is found to obey an additional law V_(2)P = constant. The gas is initially at temperature T and volume V. When it expands to a volume 2V, the temperature becomes :

    During an experiment, an ideal gas is found to obey an additional law VP^2=constant, The gas is initially at a temprature T, and volume V. When it expands to a volume 2V, the temperature becomes…….

    An ideal gas expands following a relation (P^(2))/(rho) = constant, where P = pressure and rho = density of the gas. The gas is initially at temperature T and density rho and finally its density becomes (rho)/(3) . (a) Find the final temperature of the gas. (b) Draw the P – T graph for the process.

    During an experiment an ideal gas is found to be obey an additional law PV^(3) = Constant. The initial temperature of gas is 600 K, what will be the final temperature, if gas expands to double it's volume :

    An ideal gas is found to obey an additional laq P^(2) V = constant. The gas is initially at temperature volume V . When it expands to a volume 2V , the temperature becomes-