I apologize for the confusion in my previous response. Let me explain the correct calculation for finding the new volume of the gas when the temperature is raised.
To solve this problem, we can use the ideal gas law, which states that for a fixed amount of gas at constant pressure, the volume is directly proportional to the temperature in Kelvin.
The equation we can use is:
V1 / T1 = V2 / T2
where V1 is the initial volume (0.20 m^3), T1 is the initial temperature (333 K), V2 is the new volume (which we want to find), and T2 is the new temperature (533 K).
Rearranging the equation to solve for V2, we have:
V2 = (V1 * T2) / T1
Plugging in the given values, we get:
V2 = (0.20 m^3 * 533 K) / 333 K
V2 ≈ 0.3201 m^3
So the correct answer is very close to option D, which is 0.3198 m^3. Therefore, the correct answer would indeed be option D.