If `DeltaH` is the enthalpy change and `DeltaU` the change in internal energy accompanying a gaseous reaction, then

Options

A. `DeltaH` is always less than `DeltaU`.
B. `DeltaH` is always than `DeltaU`.
C. `DeltaH` is less than `DeltaU` if the number of moles of gaseous products is greater than the number of moles of gaseous reactants.
D. `DeltaH` is less than `DeltaU` if the number of moles of gaseous products is less than the number of moles of gaseous reatants.

Explanation

To solve the problem, we need to analyze the relationship between the change in enthalpy (ΔH) and the change in internal energy (ΔU) for a gaseous reaction. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the relationship between ΔH and ΔU
The relationship between the change in enthalpy (ΔH) and the change in internal energy (ΔU) can be expressed using the equation:
\[ \Delta H = \Delta U + P \Delta V \]
where \( P \) is the pressure and \( \Delta V \) is the change in volume.
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