3 moles of an ideal monoatomic gas performs A B C D A cyclic process as shown in figure below. The gas temperatures are TA=400 K, TB=800 K , TC=2400 K and TD=1200 K. The work done by the gas is (approximately) (R=8.314 J / mol K )

Question

3 moles of an ideal monoatomic gas performs A B C D A cyclic process as shown in figure below. The gas temperatures are TA=400 K, TB=800 K , TC=2400 K and TD=1200 K. The work done by the gas is (approximately) (R=8.314 J / mol K ) (A) 10 kJ (B) 20 kJ (C) 40 kJ (D) 100 kJ

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/5c379393d11d163c6876f7bd0a74d7ad-.png" /> Processes A to B and C to D are parts of straight line graphs of form y=m x. Also, p=(μ R/V) T(μ=3) p propto T So, volume remains constant for the graphs A B and C D So, no work is done during processes for A to B and C to D. WA B=WC D=0 and WB C=p2(VC-VB) =μ R(TC-TB) =3 R(2400-800) =3 R × 1600 =4800 R WD A =p1(VA-VD) =μ R(TA-TD) =3 R(400-1200) =-2400 R Work done in complete cycle W =WA B+WB C+WC D+WD A =0+4800 R+0+(-2400) R =2400 R =19.944 J =20 kJ

Q. 3 moles of an ideal monoatomic gas performs ABCDA cyclic process as shown in figure below. The gas temperatures are TA​=400K, TB​=800K,TC​=2400K and TD​=1200K. The work done by the gas is (approximately) (R=8.314J/molK)

10 kJ

20 kJ

40 kJ

100 kJ

Q. $3$ moles of an ideal monoatomic gas performs $A BC D A$ cyclic process as shown in figure below. The gas temperatures are $T_{A} = 400 K$ , $T_{B} = 800 K, T_{C} = 2400 K$ and $T_{D} = 1200 K$ . The work done by the gas is (approximately) $(R = 8.314 J / m o l K)$