A gas expands from `p_1` to pressure `p_2 (p_2=p 1/10)` if the process of expansion is isothermal the volume at the end of expansion is

A gas expands slowely against a variable pressure given by p=(10)/(V) bar, where V is the volume of gas at each stage of expansion. During expansion from volume 10 L to 100 L the gas undergoes an increase in internal energy of 400 J. How much heat is absorbed by gas during expansion ?

An ideal diatomic gas with C_(V)=(5R)/(2) occupies a volume V_(1) at a pressure P_(1) . The gas undergoes a process in which the pressure is proportional to the volume. At the end of the process the rms speed of the gas molecules has doubled from its initial value. Heat supplied to the gas in the given process is

One mole of an ideal gas at pressure P_(0) and temperature T_(0) is expanded isothermally to twice ist volume and then compressed at constant pressure to (V_(0) // 2) and the gas is brought bac to original state by a process in which P alpha V (pressure is direclty proportional to volume). The correct temperature of the process is

Consider one mole of helium gas enclosed in a container at initial pressure P_(1) and volume V_(1) . It expands isothermally to volume V_(1) After this , the gas expands adiabatically and its volume becomes 32V_(1) . The work done by the gas during isothermal and adiabatic expansion processes are W_(iso)andW_(adia) respectively . if the radio (W_(iso))/(W_(adia))=fIn 2 , then f is __________ .

An ideal diatomic gas occupies a volume V_1 at a pressure P_1 The gas undergoes a process in which the pressure is proportional to the volume . At the end of process the root mean square speed of the gas molecules has doubled From its initial value then the heat supplied to the gas in the given process is

An ideal diatomic gas with C_(V)=(5R)/(2) occupies a volume V_(1) at a pressure P_(1) . The gas undergoes a process in which the pressure is proportional to the volume. At the end of the process the rms speed of the gas molecules has doubled from its initial value. The molar heat capacity of the gas in the given process is

A sample of ideal gas undergoes isothermal expansion in a reversible manner from volume V_(1) to volume V_(2) . The initial pressure is P_(1) and the final pressure is P_(2) . The same sample is then allowed to undergoes reversible expansion under adiabatic conditions from volume V_(1) to V_(2) . The initial pressure being same but final pressure is P_(2) . The work of expansion in adiabatic process (w_(adi)) is related to work of expansion in isothermal process (w_(iso)) is

A certain mass of an ideal gas is at pressure P_(1) and volume V_(1) . If is compressed isothermally and then allowed to expand adiabatically untill its pressure returns to P_(1) . The gas is then allowed to expand its original volume. Which of the following P -V graphs are these process correctly shown?

For an isothermal expansion of a perfect gas, the value of (DeltaP)/(P) is