A gas occupies 600.0 mL at a temperature of 17.0 degrees Celsius. What is the volume at 102.0 degrees Celsius?

This problem can be solved using Charles's Law, which states that the volume of a gas is directly proportional to its temperature in Kelvin, provided the pressure and the amount of gas remain constant. The formula for Charles's Law is V1/T1 = V2/T2.

Here's how to solve it:

Step 1: Convert the temperatures from Celsius to Kelvin. The formula to convert Celsius to Kelvin is K = C + 273.15.

T1 = 17.0 degrees Celsius = 17.0 + 273.15 = 290.15 K T2 = 102.0 degrees Celsius = 102.0 + 273.15 = 375.15 K

Step 2: Plug the known values into Charles's Law and solve for V2.

V1/T1 = V2/T2 600.0 mL / 290.15 K = V2 / 375.15 K V2 = (600.0 mL / 290.15 K) * 375.15 K V2 = 775.0 mL

So, the volume of the gas at 102.0 degrees Celsius is 775.0 mL.