Consider the given cyclic process $$1$$→$$2$$→$$3$$→$$4$$→$$5$$→$$6$$→$$7$$→$$8$$→$$9$$→$$10$$→$$11$$→$$12$$→$$1$$ if the net work done is $$KP0V0$$ find the value of K.

Net work done $$W=Wcyclic$$ $$clock+4Wcyclic$$ anticlock⇒$$W=5P0$$−$$2P05V0$$−$$2V0+$$−$$4P0V0=5P0V0$$

Thermodynamic processes

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Question

Consider the given cyclic process $1 \to 2 \to 3 \to 4 \to 5 \to 6 \to 7 \to 8 \to 9 \to 10 \to 11 \to 12 \to 1$ if the net work done is ${KP}_{0} V_{0}$ find the value of K.

Moderate

Solution

$\begin{array}{l} Net work done \\ W = W_{cyclic clock} + 4 W_{cyclic anticlock} \\ \Rightarrow W = (5 P_{0} - 2 P_{0}) (5 V_{0} - 2 V_{0}) + (- 4 P_{0} V_{0}) = 5 P_{0} V_{0} \end{array}$

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