Final answer:
To find the final volume of air in a piston-cylinder device that is heated from 32°C to 232°C at constant pressure, apply Gay-Lussac's law using the ideal gas law. Convert the temperatures to Kelvin and solve for the final volume to find that it is approximately 1.656 liters.
Step-by-step explanation:
The student is asking about the final volume of air in a piston-cylinder device that has been heated from 32°C to 232°C at a constant pressure of 350 kPa. The initial volume is given as 1 liter. The solution to this problem involves using the ideal gas law and its relation to the Gay-Lussac's law, which is a special case where pressure is held constant while temperature changes, and can be written as P1/T1 = P2/T2 or, since the pressure is constant in this case, V1/T1 = V2/T2, where V and T refer to volume and temperature respectively.
Firstly, convert temperatures from Celsius to Kelvin: T1 = 32°C + 273.15 = 305.15 K and T2 = 232°C + 273.15 = 505.15 K.
The initial volume V1 = 1 L (or 1×10⁰³ m³, but unit conversion is not needed as we seek the volume in liters).
Now, apply Gay-Lussac's law.
V1/T1 = V2/T2
1 L / 305.15 K = V2 / 505.15 K
V2 = 1 L × (505.15 K / 305.15 K)
V2 = 1.656 L
Therefore, the final volume V2 when the air is heated to 232°C is approximately 1.656 liters.