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?
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.
Similar Questions
A 0.7 L latex balloon at 20°C is heated to 25°C with a hair dryer (bad idea!). Will the volume of the balloon increase or decrease?
A 0.85 L latex balloon at 25°C is placed in a deep freeze at -23 °C. What will be the final volume of the balloon?
A balloon with the volume of 24.0 L and at 23 °C and pressure of 1.00 atm is let go. The balloon after 20 minutes reaches a much higher elevation where due to lower pressure of 0.500 atm is now expands to 28.0 liters. What is the temperature at that elevation in Celsius degrees? [Hint: combined gas law requires temperature input in kelvin and produces results also in kelvin].
A balloon of helium was put in the freezer at -23°C. Its volume at this temperature was 2.5 liters. It was removed from the freezer. Eventually, it reached a temperature of 177°C. What would its volume be at this temperature? (Neglect any force used to stretch the rubber balloon.)
A balloon is filled with 35.0 L of helium in the morning when the temperature is 20.0 0C. By noon the temperature has risen to 42.0 0C. What is the new volume of the balloon?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.