Which of the following is a statement of the first law of thermodynamics?
[A] Ek = ½ mV2
[B] A negative ΔH corresponds to an exothermic process. [C] ΔE = Efinal -Einitial
[D] Energy lost by the system must be gained by the surroundings.
[E] 1 cal = 4.184 J (exactly)

The first law of thermodynamics is a law of conservation of energy. This automatically tells us that energy lost by a system won't dissapear, but it will be gained by the surroundings.

Mathematically is stated this way:

ΔU=Q-W

Where ΔU is the change in the internal energy of a closed system, Q is the amount of heat supplied and W the amount of work done by the system on its surroundings. It means that if the internal energy U decreases, then that energy lost must have been converted to work W in the surroundings.

Which of the following is a statement of the first law of thermodynamics? [A] Ek = ½ mV2 [B] A negative ΔH corresponds to an exothermic process. [C] ΔE = Efinal -Einitial [D] Energy lost by the system must be gained by the surroundings. [E] 1 cal = 4.184 J (exactly)

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Which of the following is a statement of the first law of thermodynamics?
[A] Ek = ½ mV2
[B] A negative ΔH corresponds to an exothermic process. [C] ΔE = Efinal -Einitial
[D] Energy lost by the system must be gained by the surroundings.
[E] 1 cal = 4.184 J (exactly)