Gas equation PV = nRT is obeyed by the ideal gas law in?A.AdiabaticB.IsothermalC.Both A and BD.None of the above

The ideal gas law, represented by the equation \( PV = nRT \), is a general equation that applies to ideal gases under a variety of conditions, including both adiabatic and isothermal processes. Here's a breakdown of each term and the contexts:

1. **Adiabatic Process**: In an adiabatic process, there is no heat exchange with the surroundings. While the ideal gas law itself ( \( PV = nRT \) ) is always true for an ideal gas, the specific relationship between \( P \), \( V \), and \( T \) in an adiabatic process will follow a different equation (the adiabatic condition), which is \( PV^\gamma = \text{constant} \) or \( T V^{\gamma-1} = \text{constant} \), where \( \gamma \) is the adiabatic index.

2. **Isothermal Process**: In an isothermal process, the temperature \( T \) remains constant. For an ideal gas undergoing an isothermal process, the ideal gas law \( PV = nRT \) simplifies to \( PV = \text{constant} \), as \( nRT \) is constant when \( T \) is constant.

3. **Both A and B**: Since the ideal gas law holds true in both adiabatic and isothermal processes, this option would be correct if you are asking about the general validity of \( PV = nRT \).

4. **None of the above**: This would be incorrect since the ideal gas law applies to both types of processes.

**Correct Answer**: **D. None of the above**. The ideal gas law \( PV = nRT \) is valid in general for ideal gases, not limited to just adiabatic or isothermal processes.