Knowee
Questions
Features
Study Tools

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?

Question

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?

🧐 Not the exact question you are looking for?Go ask a question

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 = 20.0°C + 273.15 = 293.15 K And, T2 = 42.0°C + 273.15 = 315.15 K

We know that V1 = 35.0 L, and we want to find V2.

Substituting the known values into the formula, we get:

35.0 L / 293.15 K = V2 / 315.15 K

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

V2 = (35.0 L / 293.15 K) * 315.15 K

V2 = 37.9 L

So, the new volume of the balloon at noon is approximately 37.9 liters.

This problem has been solved

Similar Questions

A balloon filled with helium has a volume of 25.22 L at a pressure of 21.61 kPa and a temperature of 34.01C. What will the volume of the balloon be, in L, if the temperature is changed to 30.18C and the pressure remains constant?

A balloon has been filled to a volume of 1.90 L with 0.0920 mol of helium gas. If 0.0210 mol of additional helium is added to the balloon while the temperature and pressure are held constant, what is the new 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].

36. A balloon with a volume of 2.0 L is filled with a gas at 3 atm. If the pressure is reduced to 0.5 atm without change in temperature, what would be the volume of the balloon?*1 point3.0 L6.0 L12 L24 L

An arctic weather balloon is filled with 23.2L of helium gas inside a prep shed. The temperature inside the shed is 5.°C. The balloon is then taken outside, where the temperature is 6.°C. Calculate the new volume of the balloon.You may assume the pressure on the balloon stays constant at exactly 1atm. Be sure your answer has the correct number of significant digits.L

1/3

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.