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The first term dU is essentially the kinetic energy of the molecules in the packet, the second their gravitational potential energy.

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For nonisolated systems we extend the law as dQ = dU + dW, where dQ is the differential of the amount of heat added to the system (in a reversible manner).

Now in regions where the gradient is negative dU/dx jae

Moreover, it is difficult to conceive of a case where marginal user cost associated with an increase in A, i.e. dU/dA, will be other than positive.

[Q 3]  "dU = δQ − δW" Is this equation valid for closed system only?

The fundamental equation for U for such a system is dU = TdS + fdL + E • dp (4. 31) where E is the electric field strength and p is the dipole moment of the system.

The funda  mental equation for U for the system considered is dU = TdS  PdV + Σ µidni + XdY (1. 41) © 2001 IUPAC, Pure and Applied Chemistry 73, 13491380

The fundamental equation for U for such a system is dU = TdS + fdL + E • dp (4. 31) where E is the electric field strength and p is the dipole moment of the system.

Moreover, it is difficult to conceive of a case where marginal user cost associated with an increase in A, i.e. dU/dA, will be other than positive.
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