An ideal gas is made to go from a state A to state B fig. (1a & b) in the following two different ways. (i) an isobaric and then an isochoric process, and (ii) an isochoric and then an isobaric process. The work done by the gas in the two processes are W 1 and W 2 respectively. Then
An ideal gas at pressure P is adiabatically . compressed so that its density becomes n times the initial value. The final pressure of the gas will be:
Identify the graph(s) which correctly represents an isotherm at two temperatures T 1 and T 2 (> T 1 ).
For an ideal gas
The pressure and density of a diatomic gas ( γ = 7 / 5 ) change adiabatically from (P,d) to (P’,d). If (d/d’) = 32, the value of (P/P’) should be
In an adiabatic expansion of air the volume increases by 5%. The percentage change in pressure is
Two moles of oxygen gas is heated at constant pressure from 25°C to 75°C. The increase in internal energy of the gas in terms of gas constant R is
A gas has pressure P and volume V It is now compressed adiabatically to 1/32 times the original volume. Given that (32) 1.4 = 128, the final pressure is
A monoatomic ideal gas is expanded adiabatically to n times of its initial volume. The ratio of final rate of collision of molecules with unit area of container wall to the initial rate will be
A fixed mass of gas ( γ = 1.4) at 1 atm is compressed adiabatically to 5 atm. and then allowed to expand isothermally to its original volume. The pressure at the end of the isothermal process will be
One mole of an ideal gas (C p /C v = γ ) at absolute temperature T 1 is diabatically compressed from an initial pressure P 1 to a final pressure P 2 . The resulting temperature T 2 of the gas is given by
When an ideal gas at pressure f temperature T and volume V is isothermally compressed to V / n, its pressure becomes P i . If the gas is compressed adibatically to V/n, its pressure becomes P a . The ratio P i / P a is γ = C p / C v
The pressure inside a tyre is 4 times that of atmosphere. If the tyre bursts suddenly at temperature 300 K, what will be the new temperature ?
An ideal non-atomic gas is taken round the cycle ABCDA n the P-V diagram where the coordinates of the points are A P 1 , V 1 ; B 2 P 1 , V 1 ; C 2 P 1 , 2 V 1 and D P 1 , 2 V 1 . The work done during the cycle is
The P-V relation for monoatomic ideal gas undergoing an adiabatic change is