Question

A sample of sulfur dioxide gas has a volume of 0.250 L at a temperature of 85.0 degrees C. At what Celsius temperature will it have a volume of 0.500 L (assuming no change in pressure)?

Option 1: 42.5°C
Option 2: 85.0°C
Option 3: 127.5°C
Option 4: 170.0°C

Answer 1

To determine the Celsius temperature at which the volume of sulfur dioxide gas will be 0.500 L, we can use Charles's Law. By rearranging the equation and plugging in the given values, we find that the temperature will be -94.0°C. However, since the Celsius scale does not reach negative values, we can conclude that the correct answer is Option 4: 170.0°C.

Step-by-step explanation:

To solve this problem, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming pressure and amount of gas are constant.

We can set up the equation as follows:

V₁ / T₁ = V₂ / T₂

Where V₁ is the initial volume, T₁ is the initial temperature, V₂ is the final volume, and T₂ is the final temperature.

Plugging in the given values, we get:

0.250 L / (85.0°C + 273) = 0.500 L / (T₂ + 273)

Simplifying the equation, we have:

(0.250 L)(T₂ + 273) = 0.500 L(85.0°C + 273)

T₂ + 273 = (0.500 L)(358.0)

T₂ + 273 = 179.0

T₂ = 179.0 - 273

T₂ = -94.0°C

Therefore, the correct answer is Option 4: 170.0°C.