Question

The volume of oxygen varies directly with temperature. That is, the higher the temperature, the more oxygen expands compared to cold temperatures. A certain amount of oxygen has a volume of 400 cm when the temperature is 80°C. Find the volume for the same amount of oxygen when the temperature is 50°C.

a) 250 cm
b) 320 cm
c) 400 cm
d) 500 cm

Answer 1

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.