Final answer:
According to Charles's Law, the volume of a gas is directly proportional to its temperature in Kelvin when the pressure is constant. Therefore, the volume of oxygen will increase from 5m³ at 27 degrees Celsius to a value greater than 5m³ at 77 degrees Celsius.
Step-by-step explanation:
The question relates to Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin) when pressure is held constant. To find the new volume at 77 degrees Celsius, first, we need to convert both temperatures to Kelvin by adding 273 to each.
Thus, 27 degrees Celsius becomes 300 K and 77 degrees becomes 350 K. Using Charles's Law (V1/T1 = V2/T2), where V1 is the initial volume and T1 is the initial temperature, V2 is the final volume and T2 is the final temperature, the calculation would be (5m³/300 K = V2/350 K). Solving for V2 gives us a value greater than 5m³. The answer is Option A: Greater than 5m³.