Home
Class 12
PHYSICS
During an experiment, an ideal gas is fo...

During an experiment, an ideal gas is found to obey an additional law `VP^2` =constant. The gas is initially at a temperatur T and volume V. When it expands to a volume `2V`, the temperature becomes___________`.^@C`.

Text Solution

Verified by Experts

By gas equation `PV = muRT` and ` VP^(2)`= constant on eliminating `P`
` [A/sqrt(V)]V= muRT implies sqrt(V)= (muR)/(A) T therefore sqrt(V_(1))/sqrt(V _(2)) = [T_(1)/T_(2)] implies sqrt(V)/sqrt(2V) = (T)/(T') implies T'(sqrt(2))T`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN|Exercise SOME WORKED OUT EXAMPLES|83 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE -01|65 Videos

  • CURRENT ELECTRICITY

    ALLEN|Exercise EX.II|66 Videos

  • GRAVITATION

    ALLEN|Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

During an experiment, an ideal gas is found to obey an additional law VP^2=constant, The gas is initially at a 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 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 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 gas is found to be obeyed the law p^2V = constant . The initial temperature and volume are T_0 and V_0 . If the gas expands to a volume 3 V_0 , then the final temperature becomes.

A gas is found to obey the law P^(2)V = constant . The initial temperature and volume are T_(0) and V_(0) . If the gas expands to a volume 3 V_(0) , its final temperature becomes

A gas is found to obey the law P^(2)V = constant. The initial temperature and volume are T_(0) and V_(0^(@)) If the gas expands to a volume 3V_(0) , then

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 .

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 .

An ideal gas is found to obey the law V^2T = constant . The initial pressure and temperature are P_0 and T_0 . If gas expands such that its pressure becomes (P_0)/4 , then the final temperature of the gas will be

Suppose ideal gas equation follows VP^(3) = contant . Initial temperature and volume of the gas are T and V respectively. If gas expand to 27V temperature will become