An ideal gas undergoes a thermodynamic process described by the equation: \(PV^2=C,\)
where \(C\) is a constant. The gas transitions from an initial state \((P_1, V_1, T_1)\) to a final state \((P_2, V_2, T_2).\) Which of the following statements is correct?
Question 2.
An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric, and isochoric. The curve which represents the adiabatic process among \(1,\)\(2,\)\(3\) and \(4\) is:
Question 3.
Two cylinders \(A\) and \(B\) of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. \(B\) is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. The process is:
Question 4.
The \((P\text{-}V)\) diagram for an ideal gas in a piston-cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is:
Question 5.
In which of the following processes, the heat is neither absorbed nor released by a system?
Question 6.
A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then,
Question 7.
A monoatomic gas at a pressure \(P\) , having a volume \(V\) , expands isothermally to a volume \(2V\) and then adiabatically to a volume \(16V\) . The final pressure of the gas is: \(\left(\text{Take:}~ \gamma = \frac{5}{3} \right)\)
Question 8.
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of \(\frac{C_P}{C_V}\) for the gas is:
Question 9.
One mole of an ideal gas goes from an initial state \(A\) to the final state \(B\) with two processes. It first undergoes isothermal expansion from volume \(V\) to \(3V\) and then its volume is reduced from \(3V\) to \(V\) at constant pressure. The correct \((P-V)\) diagram representing the two processes is:
Question 10.
At a pressure of \(2\) atmospheres, a mass of diatomic gas \((\gamma = 1.4)\), is compressed adiabatically, causing its temperature to rise from \(27^{\circ}\mathrm{C}\) to \(927^{\circ}\mathrm{C}\). The pressure of the gas in the final state is:
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Question 1.
A monoatomic gas at pressure P1 and volume V1 is compressed adiabatically to 1/8th its original volume. What is the final pressure of the gas?
Question 2.
In thermodynamic processes which of the following statements is not true?
Question 3.
Which one of the following processes is reversible?
Question 4.
The initial pressure and volume of a gas are P and V respectively. First, its volume is expanded to 4V by an isothermal process and then compressed adiabatically to volume V. The final pressure will be (γ = 1.5):
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