Final answer:
When a balloon is heated, the gas inside expands, causing the volume of the balloon to increase. Using Charles's Law, we can calculate the new volume of the balloon when it is heated from 20°C to 150°C. The new volume of the balloon will be 3.75 L.
Step-by-step explanation:
When a balloon is heated, the gas inside expands, causing the volume of the balloon to increase. To find the new volume of the balloon when it is heated from 20°C to 150°C, we can use Charles's Law.
Charles's Law states that the volume of an ideal gas is directly proportional to its temperature, assuming the pressure and amount of gas remain constant. Mathematically, this can be represented as:
V1/T1 = V2/T2
Where:
V1 is the initial volume of the gas
T1 is the initial temperature of the gas
V2 is the final volume of the gas
T2 is the final temperature of the gas
In this case, the initial volume (V1) is 0.5 L, the initial temperature (T1) is 20°C, and the final temperature (T2) is 150°C. However, we do not know the final volume (V2), so we can rearrange the equation to solve for V2:
V2 = V1 × (T2/T1)
Substituting the given values into the equation, we get:
V2 = 0.5 L × (150°C/20°C) = 3.75 L
Therefore, the volume of the balloon will be 3.75 L when it is heated to 150°C.