Suppose the volume of an ideal gas is doubled while the pressure is reduced by half.  Does the thermal energy of the gas increase, decrease or remain the same?  Explain

A1] A thermodynamic cycle of a monatomic ideal gas consists of the following three stages: (1) a constant volume increase in pressure from (P, V) to (P2, V); (2) a constant pressure expansion from (P2, V1) to (P2, V2): (3) a return to (P1, Vi) following a straight line on the P" diagram. a) Show these three stages on a PV diagram. b) Shade the area on your diagram that corresponds to the net work done on or by the monatomic ideal gas during a single cycle. c) Hence or otherwise find an expression for the net work W done by the monatomic ideal gas during a single cycle. d) Find the heat Qi absorbed by the gas in stage (1), expressing your answer in terms of pressures and volumes. e) Find the heat Q2 absorbed by the gas in stage (2), expressing your answer in terms of pressures and volumes. f) If the entropy of the system at (Pi, Vi) is S1, find an expression for S2, the entropy of the system at (P2, V2), in terms of S1, pressures, volumes, n and R. n is the number of moles of ideal gas…

One mole of an ideal gas initially at a temperature of T₁ = 2.6°C undergoes an expansion at a constant pressure of 1.00 atm to eight times its original volume. (a) Calculate the new temperature T, of the gas. K (b) Calculate the work done on the gas during the expansion. kJ Need Help? Watch It eBook

- What is the work done on the gas as it expands from ressure P₁ and volume V₁ to pressure P2 and volume V2 long the indicated straight line? a. (P₁-P2) (V₁-V₂)/2 c. (P₁ + P2)(V₁-V2)/2 b. (P₁+P2) (V₁-V2) d. (P₁ P2)(V1 + V2) P₂ P₁ V₁ V₂ 2 V