One mole of helium is adiabatically expanded from its initial state `(P_(i),V_(i),T_(i))` to its final state `(P_(f),V_(f),T_(f))`. The decrease in the internal energy associated with this expansion is equal to

One mole of hydrogen, assumed to be ideal, is adiabatically expanded from its initial state (P_(1), V_(1), T_(1)) to the final state (P_(2), V_(2), T_(2)) . The decrease in the internal energy of the gas during this process will be given by

One mole of hydrogen, assumed to be ideal, is adiabatically expanded from its initial state (P_(1), V_(1), T_(1)) to the final state (P_(2), V_(2), T_(2)) . The decrease in the internal energy of the gas during this process will be given by

One mole of hydrogen, assumed to be ideal, is adiabatically expanded from its initial state (P_(1), V_(1), T_(1)) to the final state (P_(2), V_(2), T_(2)) . The decrease in the internal energy of the gas during this process will be given by

An ideal gas is compressed from state (P_(1), V_(1), T) to state (P_(2), V_(2), T) isothermally. What is the change in the internal energy of the gas? Answer with reason.

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 (B +C) ?

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 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 A ?

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 (A) ?

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) ?

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 DeltaS for path A ?

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 (A) ?