Step 1: Understanding the process.
In a piston-cylinder arrangement, when the system is heated by placing it on the top of a burner, the volume of the gas is allowed to expand and the pressure remains constant. This is typical for a constant pressure process.
Step 2: Explanation of options.
- (A) A constant pressure process occurs when the gas expands and is heated.
- (B) A constant volume process would not allow the gas to expand.
- (C) An adiabatic process would involve no heat exchange, which is not the case here.
- (D) An isothermal process would involve constant temperature, which is not described here.
Final Answer: \[ \boxed{\text{A) a constant pressure process}} \]
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