In an adiabatic process, the state of a gas is changed from `P_(1),V_(1),T_(1), "to" P_(2),V_(2),T_(2).` Which of the following relation is correct

Establish gas equation, (P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2)) .

For an ideal gas, an illustration of the different paths, A (B + C) and (D + E) from an intial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2), T_(1) as shown in the given figure. Path (A) represents a reversible isothernal expanison from P_(1)V_(1) to P_(2)V_(2) . Path (B + C) represents a reversible adiabatic expansion (B) from P_(1), V_(1), T_(1) to P_(3), V_(2), T_(2) followed by reversible heating the gas at constant volume (C) from P_(3), V_(2), T_(2) to P_(2), V_(2) T_(1) to P_(1) , V_(2), T_(3) followed by reversible cooling at a constant volume V_(2) (E) from P_(1), V_(2), T_(3) to P_(2), V_(2), T_(1) What is Delta S for path (D + E) ?

For an ideal gas, an illustration of three different paths A, (B +C) and (D+E) from an initial state P _(1) , V _(1), T _(1) to a final state P _(2), V _(2), T _(1) is shown in the given Path A represents a reversible isothermal expansion from P _(1), V _(1), to P _(2), V _(2) Path (B +C) represents a reversible adiabatic expansion (B) from P _(1), V _(1), T _(1) to P _(3), V _(2) , T _(2) followed by reversible heating the gas at constant volume (C) from P _(3), V _(2), T _(2) to P _(2), V _(2), T _(1). Path (D+E) represents a reversible expansion at constant pressure P _(1) from P _(1) , V _(1), T _(1) to P _(1), V _(2), T _(3) followed by a reversible cooling at constant volume V _(2) (E) frm V _(1) , V _(2) T _(3) to P _(2) , V _(2), T _(1). What is Delta S for path A ?

For an ideal gas, an illustration of three different paths A, (B +C) and (D+E) from an initial state P _(1) , V _(1), T _(1) to a final state P _(2), V _(2), T _(1) is shown in the given Path A represents a reversible isothermal expansion from P _(1), V _(1), to P _(2), V _(2) Path (B +C) represents a reversible adiabatic expansion (B) from P _(1), V _(1), T _(1) to P _(3), V _(2) , T _(2) followed by reversible heating the gas at constant volume (C) from P _(3), V _(2), T _(2) to P _(2), V _(2), T _(1). Path (D+E) represents a reversible expansion at constant pressure P _(1) from P _(1) , V _(1), T _(1) to P _(1), V _(2), T _(3) followed by a reversible cooling at constant volume V _(2) (E) frm V _(1) , V _(2) T _(3) to P _(2) , V _(2), T _(1). What is q _(rav), for path (A) ?

For an ideal gas, an illustration of three different paths A, (B +C) and (D+E) from an initial state P _(1) , V _(1), T _(1) to a final state P _(2), V _(2), T _(1) is shown in the given Path A represents a reversible isothermal expansion from P _(1), V _(1), to P _(2), V _(2) Path (B +C) represents a reversible adiabatic expansion (B) from P _(1), V _(1), T _(1) to P _(3), V _(2) , T _(2) followed by reversible heating the gas at constant volume (C) from P _(3), V _(2), T _(2) to P _(2), V _(2), T _(1). Path (D+E) represents a reversible expansion at constant pressure P _(1) from P _(1) , V _(1), T _(1) to P _(1), V _(2), T _(3) followed by a reversible cooling at constant volume V _(2) (E) frm V _(1) , V _(2) T _(3) to P _(2) , V _(2), T _(1). What is Delta S for path A ?

An ideal gas follows a process described by PV^(2)=C from (P_(1), V_(1),T_(1)) " to " (P_(2), V_(2), T_(2)) (C is a constant). Then

For an ideal gas, an illustratio of three different paths A(B+C) and (D+E) from an initial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2),T_(1) is shown in the given figure. Path A represents a reversible isothermal expansion form P_(1),V_(1) to P_(2),V_(2) , Path (B+C) represents a reversible adiabatic expansion (B) from P_(1),V_(1),T_(1)to P_(3),V_(2),T_(2) followed by reversible heating the gas at constant volume (C) from P_(3),V_(2),T_(2) to P_(2),V_(2),T_(1) . Path (D+E) represents a reversible expansion at constant pressure P_(1)(D) from P_(1),V_(1),T_(1) to P_(1),V_(2),T_(3) followed by a reversible cooling at constant volume V_(2)(E) from P_(1),V_(2),T_(3) to P_(2),V_(2),T_(1) . What is q_(rev) , for path (D+E) ?