In a thermodynamic process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by T$$\Delta $$X where T is temperature of the system and $$\Delta $$X is the infinitesimal change in a thermodynamic quantity X of the system. For a mole of monatomic ideal gas, $$X = {3 \over 2}R\,\ln \left( {{T \over {{T_A}}}} \right) + R\,\ln \left( {{V \over {{V_A}}}} \right)$$
Here, R is gas constant, V is volume of gas, TA and VA are constants.
The List-I below gives some quantities involved in a process and List-II gives some possible values of these quantities.
If the process carried out on one mole of monoatomic ideal gas is as shown in the PV-diagram with $${p_0}{V_0} = {1 \over 3}R{T_0}$$, the correct match is,
A
I$$ \to $$S, II $$ \to $$ R, III $$ \to $$ Q, IV $$ \to $$ T
B
I $$ \to $$ Q, II $$ \to $$ R, III $$ \to $$ P, IV $$ \to $$ U
C
I $$ \to $$ Q, II $$ \to $$ S, III $$ \to $$ R, IV $$ \to $$ U
D
I $$ \to $$ Q, II $$ \to $$ R, III $$ \to $$ S, IV $$ \to $$ U
2
JEE Advanced 2018 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
One mole of a monatomic ideal gas undergoes four thermodynamic processes as shown schematically in the $$PV$$-diagram below. Among these four processes, one is isobaric, one is isochoric, one is isothermal and one is adiabatic. Match the processes mentioned in List-I with the corresponding statements in List-II.
LIST - I
LIST - II
P.
In process I
1.
Work done by the gas is zero
Q.
In process II
2.
Temperature of the gas remains unchanged
R.
In process III
3.
No heat is exchanged between the gas and its surroundings
S.
In process IV
4.
Work done by the gas is 6P0V0
A
$$P \to 4;Q \to 3;R \to 1;S \to 2$$
B
$$P \to 1;Q \to 3;R \to 2;S \to 4$$
C
$$P \to 3;Q \to 4;R \to 1;S \to 2$$
D
$$P \to 3;Q \to 4;R \to 2;S \to $$
3
JEE Advanced 2017 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-0.75
An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding $$P-V$$ diagram in column 3 of the table. Consider only the path from state $$1$$ to state $$2.$$ $$W$$ denotes the corresponding work done on the system. The equations and plots in the table have standard notations as used in thermodynamic processes. Here $$Y$$ is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas is $$n.$$
Which one of the following options correctly represents a thermodynamic process that is used as a correction in the determination of the speed of sound in an ideal gas?
An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding $$P-V$$ diagram in column 3 of the table. Consider only the path from state $$1$$ to state $$2.$$ $$W$$ denotes the corresponding work done on the system. The equations and plots in the table have standard notations as used in thermodynamic processes. Here $$Y$$ is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas is $$n.$$
Which one of the following options is the correct combination?
A
$$\left( {{\rm I}V} \right)\left( {ii} \right)\left( S \right)$$
B
$$\left( {{\rm I}{\rm I}{\rm I}} \right)\left( {ii} \right)\left( S \right)$$
C
$$\left( {{\rm I}{\rm I}} \right)\left( {iv} \right)\left( P \right)$$
D
$$\left( {{\rm I}{\rm I}} \right)\left( {iv} \right)\left( R \right)$$
