Two equal quantities of water, of mass m and at temperatures T1 and T2, (T1 > T2) are mixed together with the pressure kept c
onstant. Assume heat exchange occurs only between the two water containers. (a) Show that the entropy change of the universe is delta S = 2mc_P ln(T_1 + T_2/2 squareroot T_1T_2), where c_P is the specific heat capacity of water at constant pressure. Show that delta S > 0 for any finite temperatures T_1 and T_2.
1 answer:
Answer:
ΔS=2*m*Cp*ln((T1+T2)/(2*(T1*T2)^1/2))
Explanation:
The concepts and formulas that I will use to solve this exercise are the integration and the change in the entropy of the universe. To calculate the final temperature of the water the expression for the equilibrium temperature will be used. Similarly, to find the change in entropy from cold to hot water, the equation of the change of entropy will be used. In the attached image is detailed the step by step of the resolution.
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Answer:
Stanley Eddington confirmed the theory by his observations and inferences using the solar eclipse
Explanation:
Albert Einstein proposed a theory that energy and mass are interchangeable; termed the theory of special relativity. This can be observed when an object moves with the speed of light. The theory states that all laws in physics are the same for all non-accelerating observers.
Thus,
E = m
This theory could not be proven over many years, therefore it was not fully accepted.
In 1919, Stanley Eddington confirmed the theory by his observations and inferences using solar eclipse. The theory is now very accurate at any given speed when gravitational force tends to zero. This has lead to other observations to prove Einstein's theory.