One mole of ideal gas goes through a cycle 1-2-3-4-1 made of the isochor 1-2, the isobar 2-3, a straight line 3-4 on the P - V diagram and the isobar 4-1, with 3 and 4 on the same isotherm. The temper

Question

One mole of ideal gas goes through a cycle 1-2-3-4-1 made of the isochor 1-2, the isobar 2-3, a straight line 3-4 on the $P$ - $V$ diagram and the isobar 4-1, with 3 and 4 on the same isotherm. The temperatures are $T_{1} = 300$ K, $T_{2} = 450$ K and $T_{3} = 600$ K. Find the work done by the gas in the cycle in joules (nearest integer).

Answer:

831

Solution:

$W = \frac{1}{2} n R (T_{2} - T_{1}) (\frac{T _{3}}{T _{1}} + \frac{T _{3}}{T _{2}} - 2) = \frac{1}{2} \times 8.314 \times 150 \times (2 + 1.333 - 2) = 831$ J.

TestHub · Accepted Answer

W = 2 1 ​ n R ( T 2 ​ − T 1 ​ ) ( T 1 ​ T 3 ​ ​ + T 2 ​ T 3 ​ ​ − 2 ) = 2 1 ​ × 8.314 × 150 × ( 2 + 1.333 − 2 ) = 831 J.

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