Final answer:
According to Charles's Law, the volume of a gas is directly proportional to its temperature in Kelvin, assuming pressure and amount of gas are held constant. Using the formula V1/T1 = V2/T2, we can find the new volume of the tube. Plugging in the values, we get V2 = (10 * 373) / 303 = 12.43 dm³.
Step-by-step explanation:
When a gas is heated, its volume generally increases. This relationship between temperature and volume is described by Charles's Law. According to Charles's Law, the volume of a gas is directly proportional to its temperature in Kelvin, assuming pressure and amount of gas are held constant.
To solve this problem, we need to convert the initial and final temperatures to Kelvin. The initial temperature is 30 degrees Celsius, which is 303 Kelvin. The final temperature is 100 degrees Celsius, which is 373 Kelvin. Now we can use the formula V1/T1 = V2/T2 to find the new volume.
Plugging in the values, we have 10/T1 = V2/373. Solving for V2, we get V2 = (10 * 373) / 303 = 12.43 dm³. Therefore, the new volume of the tube is 12.43 dm³.