which of the following expression is correct?

Options

A. E=H+PV
B. H=E+PV
C. H=E-PV
D. P=E+ HV

Answer

To determine which of the given expressions is correct regarding the relationship between enthalpy (H), internal energy (E), pressure (P), and volume (V), we can analyze the definitions and relationships in thermodynamics.

### Step-by-Step Solution:

1. **Understand the Definitions**:
- **Internal Energy (E)**: This is the total energy contained within a system, which includes kinetic and potential energies of the molecules.
- **Enthalpy (H)**: This is a thermodynamic quantity that represents the total heat content of a system. It is defined as the sum of the internal energy and the product of pressure and volume.

2. **Recall the Enthalpy Formula**:
- The relationship between enthalpy (H), internal energy (E), pressure (P), and volume (V) is given by the formula:
\[ H = E + PV \]
- Here, \( H \) is the enthalpy, \( E \) is the internal energy, \( P \) is the pressure, and \( V \) is the volume.

3. **Evaluate the Given Options**:
- **Option A**: \( E = H + PV \) (Incorrect)
- **Option B**: \( H = E + PV \) (Correct)
- **Option C**: \( H = E - PV \) (Incorrect)
- **Option D**: \( P = E + HV \) (Incorrect)

4. **Conclusion**:
- Based on the definition and the formula for enthalpy, the correct expression is:
\[ H = E + PV \]
- Therefore, the correct option is **Option B**.