A heat engine carries one mole of an ideal mono-atomic gas around the cycle as shown in the figure. Select the correct option:

q_{A B} = 450 R a n d q_{C A} = - 450 R

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q_{A B} = 450 R a n d q_{C A} = - 225 R

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q_{A B} = 450 R a n d q_{C A} = - 375 R

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q_{A B} = 375 R a n d q_{C A} = - 450 R

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Solution

The correct option is C $q_{A B} = 450 R a n d q_{C A} = - 375 R$
$(C) q_{A B} = 450 R$ and $q_{C A} = - 375 R$

(1) A to B is isochoric:

So, work done, $W = 0$

$∴ q = U = n C_{v} △ T = 1 \times (\frac{3 R}{2}) \times 300 = 450 R$

(2) A to C is isobaric

$q = - n C_{p} Δ T = - 1 \times (\frac{5 R}{2}) \times 150$

$= - 375 R$

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