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

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.

Text Solution

Verified by Experts

` PV_2 = constant `
` rArr ((P_1)(V_(1)^2)) = ((P_2)(V_(2)^2))`
` = (mRT_1)/(V_1) xx (V_(1)^2) = (mRT_2)/(V_2) xx (V_(2)^2)`
` rArr (mRT_1/V_1) xx (V_(1)^2) = (mRT_2/ V_2) xx (V_(2)^2).`
` rArr (T_1)(V_1) = (T_2)(V_2)`
` rArr TV= (T_2) xx (2V) `
` (T_2) = (T/2)`
Promotional Banner

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 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 .

Certain perfect gas is found to obey PV^(n) = constant during adiabatic process. The volume expansion coefficient at temperature T is

Explain constant volume gas thermometer and absolute zero temperature.

An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initially the gas is at temperature T_1 , pressure P_1 and volume V_1 and the spring is in its relaxed state. The gas is then heated very slowly to temperature T_2 ,pressure P_2 and volume V_2 . During this process the piston moves out by a distance x. Ignoring the friction between the piston and the cylinder, the correct statement (s) is (are)

An ideal gas is expanding such that PT^(2)= constant. The coefficient of volume expansion of lthe gas is:

During an adiabatic process the pressure of gas is found to be proportional to the cube of its absolute temperature. Then ratio C_P/C_V = ……..

An ideal gas expands in such a way that PV^2 = constant throughout the process.

An ideal monoatomic gas occupies volume 10^(-3)m^(3) at temperature 3K and pressure 10^(3) Pa. The internal energy of the gas is taken to be zero at this point. It undergoes the following cycle: The temperature is raised to 300K at constant volume, the gas is then expanded adiabatically till the temperature is 3K , followed by isothermal compression to the original volume . Plot the process on a PV diagram. Calculate (i) The work done and the heat transferred in each process and the internal energy at the end of each process, (ii) The thermal efficiency of the cycle.