The above p-v diagram represents the thermodynamic cycle of an… | JEE Main 2013

Q80JEE Main 2013Difficult

P-V Diagrams & Cyclic Processes

The above $p\text{-}v$ diagram represents the thermodynamic cycle of an engine, operating with an ideal monatomic gas. The amount of heat, extracted from the source in a single cycle is

Show answer and solution

Answer: (b)

$nRT = PV$ : $D = p_0v_0$ , $A = 2p_0v_0$ , $B = 4p_0v_0$ , $C = 2p_0v_0$ . Heat is taken in only where $T$ rises: $D \to A$ and $A \to B$ .
$D \to A$ (isochoric): $Q = \frac{3}{2}nR\Delta T = \frac{3}{2}(2p_0v_0 - p_0v_0) = \frac{3}{2}p_0v_0$
$A \to B$ (isobaric): $Q = \frac{5}{2}nR\Delta T = \frac{5}{2}(4p_0v_0 - 2p_0v_0) = 5p_0v_0$
Heat from source $= \frac{3}{2}p_0v_0 + 5p_0v_0 = \frac{13}{2}p_0v_0$ . So the answer is (b).

Report a mistake

More questions on P-V Diagrams & Cyclic Processes

An ideal gas goes from state A to state B via three different processes as indicated in…NEET 2012 (AIPMT, Mains)
One mole of an ideal gas goes from an initial state A to final state B via two processes…NEET 2012 (AIPMT, Prelims)
A thermodynamic system is taken through the cycle ABCD as shown in figure. Heat rejected…NEET 2012 (AIPMT, Prelims)
Two moles of helium gas are taken over the cycle ABCD, as shown in the P-T diagram…JEE Main 2009 (AIEEE)
Two moles of helium gas are taken over the cycle ABCD, as shown in the P-T diagram. The…JEE Main 2009 (AIEEE)
Two moles of helium gas are taken over the cycle ABCD, as shown in the P-T diagram. The…JEE Main 2009 (AIEEE)
If Q, E and W denote respectively the heat added, change in internal energy and the work…NEET 2008 (AIPMT)
When a system is taken from state i to state f along the path iaf, it is found that Q =…JEE Main 2007 (AIEEE)

P-V Diagrams & Cyclic Processes question from JEE Main 2013

More questions on P-V Diagrams & Cyclic Processes