A heat engine absorbs heat Q1 at temperature T1 and heat Q2 at tempera...
It does not go against first law of thermodynamics .
However it violates the 2nd law of thermodynamics.
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A heat engine absorbs heat Q1 at temperature T1 and heat Q2 at tempera...
Explanation:
First Law of Thermodynamics:
The first law of thermodynamics, also known as the law of energy conservation, states that energy cannot be created or destroyed in an isolated system. It can only be transferred or converted from one form to another.
Heat Engine:
A heat engine is a device that converts heat energy into mechanical work. It operates in a cyclic manner, absorbing heat from a high-temperature reservoir and releasing some of it to a low-temperature reservoir.
Heat Absorption and Work Done:
In a heat engine, heat is absorbed from two different sources: Q1 at temperature T1 and Q2 at temperature T2. The engine uses this heat to perform work. The work done by the engine can be calculated as the difference between the heat absorbed from the high-temperature reservoir (Q1) and the heat released to the low-temperature reservoir (Q2). Therefore, the work done by the engine is given by (Q1 - Q2).
Analysis of the Given Data:
According to the given data, the work done by the engine is (Q1 - Q2). This is a valid expression for the work done by the engine and does not violate the first law of thermodynamics. Let's analyze the given options one by one to understand why.
a) Violates 1st law of thermodynamics:
This option is incorrect because the given expression for work does not violate the first law of thermodynamics.
b) Violates 1st law of thermodynamics if Q1 is negative:
This option is incorrect because the given expression for work does not depend on the sign of Q1. It only considers the difference between Q1 and Q2.
c) Violates 1st law of thermodynamics if Q2 is negative:
This option is incorrect because the given expression for work does not depend on the sign of Q2. It only considers the difference between Q1 and Q2.
d) Does not violate first law of thermodynamics:
This option is correct. The given expression for work (Q1 - Q2) does not violate the first law of thermodynamics. It follows the principle of energy conservation, as the work done by the engine is obtained by the difference between the heat absorbed and the heat released.
Therefore, the correct answer is option 'D' - the given data does not violate the first law of thermodynamics.
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