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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?

Question

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?

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Solution

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.

This problem has been solved

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