JEE Advanced 2020 Full Test 4 Paper 2

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This section contains TWO (02) List-Match Sets. Each List-Match set has TWO(02) Multiple Choice Questions. Each List-Match set has two lists: List-I and List-II. List-I has Four entries (I), (II), (III) and (IV) and List-II has Six entries (P),(Q),(R),(S),(T) and (U). FOUR options are given in each Multiple Choice Question based On List-I and List-II and ONLY ONE of these four options satisfies the condition asked in the Multiple Choice Question.
Answer the following by appropriately matching the list based on the information given in the paragraph.

In the thermodynamic process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by TX. where T is temperature of the system and X is the infinitesimal change in a thermodynamic quantity X of the system. For a mole of monatomic ideal gas X=
3
2
R
ln
(
T
TA
)
+Rln(
V
VA
)
.
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.
   List - I    List - II
 (I);  Work done by the system in process 123  (P)  
1
3
RT0
ln
2
 (II)  Change in internal energy in process 123  (Q)  
1
3
R
T0
 (III)  Heat absorbed by the system in process 123  (R)  RT0
 (IV)  Heat absorbed by the system in process 12  (S)  
3
3
R
T0
     (T)  
1
3
RT0
(3+ln2)
     (U)  
5
6
R
T0
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