Final answer:
The correct answer is option a) 250 cm. The volume for the same amount of oxygen when the temperature is 50°C can be found using Charles's Law. The volume is 250 cm³.
Step-by-step explanation:
The volume of a gas is directly proportional to its temperature. This is known as Charles's Law. In this case, we are given that a certain amount of oxygen has a volume of 400 cm³ when the temperature is 80°C.
To find the volume for the same amount of oxygen when the temperature is 50°C, we can use the formula:
V₁ / T₁ = V₂ / T₂
Where V₁ is the initial volume, T₁ is the initial temperature, V₂ is the final volume (which we need to find), and T₂ is the final temperature.
Plugging in the values, we get:
400 / 80 = V₂ / 50
Solving for V₂, we find that the volume for the same amount of oxygen when the temperature is 50°C is 250 cm³. Therefore, the correct answer is option a) 250 cm.