Duration: 7:23

217 views

0

In a thermodynamics process on an ideal monatomic
gas, the infinitesimal heat absorbed by the gas is given
is the infinitesimal change in a thermodynamic quantity
\( \mathrm{X} \) of the system. For a mole of monatomic ideal gas \( \mathrm{X}= \)
P
\( \frac{3}{2} R \) in \( \left(\frac{T}{T_{A}}\right)+R \ln \left(\frac{V}{V_{A}}\right) \). Here, \( R \) is gas constant, \( V \)
WV
is volume of gas, \( \mathrm{T}_{\mathrm{A}} \) and \( \mathrm{V}_{\mathrm{A}} \) are constants. The List-I below gives some quantities involved and
List-II gives some possible values of these quantities.
(I) Work done by the system in process
\( \begin{array}{ll}1 \rightarrow 2 \rightarrow 3 & \text { (P) } \frac{1}{3} \mathrm{RT}_{0} \ln 2 \\ \text { (II) Change in internal energy in process }\end{array} \)
(II) Change in internal energy in process
\( 1 \rightarrow 2 \rightarrow 3 \) (III) Heat absorbed by the system in proc \( \frac{1}{3} \mathrm{RT}_{0} \)
(III) Heat absorbed by the system in process \( \begin{array}{ll}1 \rightarrow 2 \rightarrow 3 & \text { (R) RT }\end{array} \)
(IV) Heat absorbed by the system in process
\( 1 \rightarrow 2 \quad \) (S) \( \frac{4}{3} R T_{0} \)
T) \( \frac{1}{3} R_{a}(3+\ln 2) \quad \) (I) \( \frac{5}{6} \mathrm{RT}_{0} \)
if the process carried out on one mole of monatomic
ideal gas is as shown in figure in the PV - diagram with
\( \mathrm{P}_{0} \mathrm{~V}_{0}=\frac{1}{3} \mathrm{RT}_{0} \), the correct match is,
[JEE Advanced - 2019]
(A) \( 1 \rightarrow \mathrm{Q}, \mathrm{II} \rightarrow \mathrm{R}, \mathrm{III} \rightarrow \mathrm{P}, \mathrm{IV} \rightarrow \mathrm{U} \) (B) \( \mathrm{l} \rightarrow \mathrm{S}, \mathrm{II} \rightarrow \mathrm{R}, \mathrm{III} \rightarrow \mathrm{Q}, \mathrm{IV} \rightarrow \mathrm{T} \)
(C) \( 1 \rightarrow \mathrm{Q}, \mathrm{II} \rightarrow \mathrm{R}, \mathrm{III} \rightarrow \mathrm{S}, \mathrm{IV} \rightarrow \mathrm{U} \)
(D) \( \mathrm{I} \rightarrow \mathrm{Q}, \mathrm{II} \rightarrow \mathrm{S}, \mathrm{III} \rightarrow \mathrm{R} \), IV \( \rightarrow \mathrm{U} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live