Select the correct SI unit for specific heat at constant pressure, Cp, used in energy balance calculations.

Introduction / Context:
Specific heat capacity at constant pressure (Cp) is central to sensible-heat calculations, heater duty estimation, and thermodynamic property evaluation. Using the correct unit is crucial for consistent results in SI-based computations.

Given Data / Assumptions:

• Cp relates heat input to temperature change per unit mass at constant pressure.
• SI base units: joule (J), kilogram (kg), kelvin (K).

Concept / Approach:
By definition, Cp = Q / (m * ΔT) at constant pressure, so the SI unit is J/kg·K. Alternative property units like W/m·K or W/m^2·°C correspond to thermal conductivity and heat flux, not specific heat.

Step-by-Step Solution:

Verification / Alternative check:
Unit analysis across typical equations (e.g., Q = m * Cp * ΔT) reproduces J as energy, verifying the choice.

Why Other Options Are Wrong:

• 0°K: A temperature value, not a unit of Cp.
• W/m^2·°C and W/m·°K: Units of heat flux and thermal conductivity respectively, not specific heat.

Common Pitfalls:
Confusing mass-based Cp (J/kg·K) with molar heat capacity (J/mol·K). Ensure consistency with property tables.

Final Answer:
J/kg·K