An ideal gas is taken around the cycle `ABCA` shown in `P - V` diagram

1.	An ideal gas is taken around the cycle `ABCA` shown in `P - V` diagram. The net work done by the gas during the cycle is equal to A. `12P_(1)V_(1)`B. `6P_(1)V_(1)`C. `3P_(1)V_(1)`D. `P_(1)V_(1)`
Answer» Correct Answer - C Correct option is C. \(3P_1V_1\) The net work done by the gas during the cycle = area bounded by cyclic curve ABCA in P-V diagram = \(\frac12 \times AB \times AC\) = \(\frac12 \times (4P_1 - P_1) \times (3V_1 - V_1)\) = \(\frac12 \times (3P_1) \times (2V_1)\) = \(3P_1V_1\)

An ideal gas is taken around the cycle `ABCA` shown in `P - V` diagram. The net work done by the gas during the cycle is equal to A. `12P_(1)V_(1)`B. `6P_(1)V_(1)`C. `3P_(1)V_(1)`D. `P_(1)V_(1)`

Answer» Correct Answer - C

Correct option is C. \(3P_1V_1\)

The net work done by the gas during the cycle

= area bounded by cyclic curve ABCA in P-V diagram

= \(\frac12 \times AB \times AC\)

= \(\frac12 \times (4P_1 - P_1) \times (3V_1 - V_1)\)

= \(\frac12 \times (3P_1) \times (2V_1)\)

= \(3P_1V_1\)

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An ideal gas is taken around the cycle `ABCA` shown in `P - V` diagram. The net work done by the gas during the cycle is equal to A. `12P_(1)V_(1)`B. `6P_(1)V_(1)`C. `3P_(1)V_(1)`D. `P_(1)V_(1)`

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