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Heat and Thermodynamics question

2015 · Q153
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Heat and Thermodynamics question

2015 · Q153

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1
Figure below shows two paths that may be taken by a gas to go from a state A to a state C.

AIPMT 2015 Cancelled Paper Physics - Heat and Thermodynamics Question 68 English
In process AB, 400 J of heat is added to the system and in process BC, 100 J of heat is added to the system. The heat absorbed by the system in the process AC will be
  1. A
    460 J
  2. B
    300 J
  3. C
    380 J
  4. D
    500 J
View written solutionFree

Correct answer: A

AIPMT 2015 Cancelled Paper Physics - Heat and Thermodynamics Question 68 English Explanation

Considering the cyclic process ABCA
Qcyclic = W = area of Δ\Delta ΔABC

QAB+QBC+QCA=12×BC×AB{Q_{AB}} + {Q_{BC}} + {Q_{CA}} = {1 \over 2} \times BC \times ABQAB​+QBC​+QCA​=21​×BC×AB

400+100+QCA=12×(2×10−3)×4×104400 + 100 + {Q_{CA}} = {1 \over 2} \times \left( {2 \times {{10}^{ - 3}}} \right) \times 4 \times {10^4}400+100+QCA​=21​×(2×10−3)×4×104

400+100−QAC=40400 + 100 - {Q_{AC}} = 40400+100−QAC​=40

Hence, QAC = 460 J

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