A 0.70 L latex balloon at 20°C is heated to 25°C with a hair dryer (bad idea!). What will be the final volume of the balloon?

To solve this problem, we can use the formula for Charles's Law, which states that the volume of a gas is directly proportional to its temperature in Kelvin, as long as the pressure and the amount of gas are kept constant. The formula is V1/T1 = V2/T2, where:

V1 = initial volume T1 = initial temperature V2 = final volume T2 = final temperature

First, we need to convert the temperatures from Celsius to Kelvin. The formula to convert Celsius to Kelvin is K = °C + 273.15.

So, T1 = 20°C + 273.15 = 293.15 K And T2 = 25°C + 273.15 = 298.15 K

The initial volume V1 is 0.70 L. We're trying to find V2, the final volume.

Plugging the known values into the formula, we get:

0.70 L / 293.15 K = V2 / 298.15 K

To solve for V2, we can cross-multiply and divide:

V2 = (0.70 L * 298.15 K) / 293.15 K

V2 ≈ 0.71 L

So, the final volume of the balloon when heated to 25°C would be approximately 0.71 liters.