Answer the following by appropriately matching the lists based on the information given in the paragraph.In a thermodynamic process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by TΔX, where T is temperature of the system and ΔX is the infinitesimal change in a thermodynamic quantity X of the system. For a mole of monatomic ideal gas $$X=32Rln$$⁡$$TTA+Rln$$⁡VVA . Here R is gas constant, V is volume of gas and 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 monatomic ideal gas is as shown in figure in the $$PV-diagram$$ with $$P0V0$$ $$=13RT0$$ , the correct match is,

Question

Answer the following by appropriately matching the lists based on the information given in the paragraph.In a thermodynamic process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by  TΔX, where T is temperature of the system and ΔX is the infinitesimal change in a thermodynamic quantity X of the system. For a mole of monatomic ideal gas $$X=32Rln$$⁡$$TTA+Rln$$⁡VVA . Here R is gas constant, V is volume of gas and 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 monatomic ideal gas is as shown in figure in the $$PV-diagram$$ with $$P0V0$$ $$=13RT0$$  , the correct match is,

Infinity Learn · Accepted Answer

Temperature at $$1$$ : $$T03Temperature$$ at $$2$$ : $$2T03Temperature$$ at $$3$$ : $$3T03$$ Work done in  $$1$$→$$2=P0V0$$                              $$2$$→$$3=0$$ Total work in   $$1$$→$$2$$→$$3=P0V0=13RTo$$ΔQ in              $$1$$→$$2=15R22T03-T03=56RTo$$ΔQ in              $$1$$→$$2$$→$$3=15R22T03-T03+13R23T03-2T03=43RTo$$ΔU in                 $$1$$→$$2$$→$$3=13R23T03-T03=RT0$$

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