1
JEE Advanced 2017 Paper 1 Offline
+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 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
$$\left( {{\rm I}{\rm I}} \right)\left( {iv} \right)\left( R \right)$$
2
JEE Advanced 2017 Paper 1 Offline
+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 of the following options is the only correct representation of a process in which

$$\Delta U = \Delta Q - P\Delta V$$?
A
$$\left( {{\rm I}{\rm I}} \right)\left( {iv} \right)\left( R \right)$$
B
$$\left( {{\rm I}{\rm I}{\rm I}} \right)\left( {iii} \right)\left( P \right)$$
C
$$\left( {{\rm I}{\rm I}} \right)\left( {iii} \right)\left( S \right)$$
D
$$\left( {{\rm I}{\rm I}} \right)\left( {iii} \right)\left( P \right)$$
3
JEE Advanced 2017 Paper 1 Offline
+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?
A
$$\left( {\rm I} \right)\left( {ii} \right)\left( Q \right)$$
B
$$\left( {{\rm I}V} \right)\left( {ii} \right)\left( R \right)$$
C
$$\left( {{\rm I}{\rm I}{\rm I}} \right)\left( {iv} \right)\left( R \right)$$
D
$$\left( {\rm I} \right)\left( {iv} \right)\left( Q \right)$$
4
JEE Advanced 2016 Paper 2 Offline
+3
-1
A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure Pi = 105 Pa and volume Vi = 10-3 m3 changes to a final state at Pf = $$\left( {{1 \over {32}}} \right) \times {10^5}\,Pa$$ and Vf = 8 $$\times$$ 10-3 m3 in an adiabatic quasi-static process, such that P3V5 = constant. Consider another thermodynamic process that brings the system from the same initial state to the same final state in two steps: an isobaric expansion at Pi followed by an isochoric (isovolumetric) process at volume Vf. The amount of heat supplied to the system in the two-step process is approximately
A
112 J
B
294 J
C
588 J
D
813 J
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