An ideal gas is taken through a series of changes, from P1,V1 arrow 4P1,V1 arrow P1,3V1 represented in the figure. The net work done by the gas at the end of the cycle is equal to

Question

An ideal gas is taken through a series of changes, from P1,V1 arrow 4P1,V1 arrow P1,3V1 represented in the figure. The net work done by the gas at the end of the cycle is equal to <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-xpysbqdyz5ci.png" /> (A) P1V1 (B) 3P1V1 (C) 6P1V1 (D) 12P1V1

Tardigrade Admin · Accepted Answer

Work done =(1/2)× 2V1× 3P1=3P1V1

Q. An ideal gas is taken through a series of changes, from $P_{1}, V_{1} \to 4 P_{1}, V_{1} \to P_{1}, 3 V_{1}$ represented in the figure. The net work done by the gas at the end of the cycle is equal to

$P_{1} V_{1}$

$3 P_{1} V_{1}$

$6 P_{1} V_{1}$

$12 P_{1} V_{1}$

Work done $= \frac{1}{2} \times 2 V_{1} \times 3 P_{1} = 3 P_{1} V_{1}$

Q. An ideal gas is taken through a series of changes, from P1​,V1​→4P1​,V1​→P1​,3V1​ represented in the figure. The net work done by the gas at the end of the cycle is equal to

P1​V1​

3P1​V1​

6P1​V1​

12P1​V1​