Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

PLEASE HELP ME WITH THESE CHEMISTRY PROBLEMS?!?!?STEP BY STEP PLEASE!!! IM SO CONFUSED?

If 34.5 mol of an ideal gas is at 2.23 atm and 411 K, what is the volume of the gas

A hot air balloon is filled with 1.41 × 106 L of an ideal gas on a cool morning (11 °C). The air is heated to 121 °C. What is the volume of the air in the balloon after it is heated? Assume that none of the gas escapes from the balloon.

3 Answers

Relevance
  • 3 years ago
    Favorite Answer

    In chemistry, you learn that the volume of one mole of an ideal gas a standard temperature and pressure is 22.4 liters. Standard temperature is 273˚K, and standard pressure is one atmosphere. The number of moles of the gas is not affected by the temperature and pressure. Let’s determine the volume of 34.5 moles of the gas at standard temperature and pressure.

    V = 34.5 * 22.4 = 772.8 liters

    Now we can use the following equation to determine the volume of the gas at a pressure of 2.23 atmospheres and 411˚ K.

    P1 * V1 ÷ T1 = P2 * V2 ÷ T2

    1 * 772.8 ÷ 273 = 2.23 * V2 ÷ 411

    V2 * 608.79 = 317,620.8

    V2 = 317,620.8 ÷ 608.79

    The volume is approximately 552 liters. These are the two steps that I used to solve this type of problem. Many people use the following equation.

    P * V = n * R * T

    The exact value of R is 22.4 ÷ 273

    2.23 * V = 34.5 * (22.4 ÷ 273) * 411

    V = 317,620.8 ÷ 608.79

    The volume is approximately 552 liters. You get the same answer.

    A hot air balloon is filled with 1.41 × 106 L of an ideal gas on a cool morning (11 °C). The air is heated to 121 °C. What is the volume of the air in the balloon after it is heated? Assume that none of the gas escapes from the balloon.

    To solve this problem, both of the temperatures must be converted from ˚C to ˚K by adding 273˚.

    T1 = 11 + 273 = 284

    T2 = 121 + 273 = 394

    Now we can use these numbers in the following equation to determine the new volume.

    V1 ÷ T1 = V2 ÷ T2

    1.41 * 10^6 ÷ 284 = V2 ÷ 394

    V2 = 5.5554 * 10^8 ÷ 284

    The volume is approximately 1.96 * 10^6 liters. I hope this is helpful for you.

  • 3 years ago

    V = nRT / P = (34.5 mol) x (0.08205746 L atm/K mol) x (411 K) / (2.23 atm) = 522 L

    (1.41 × 10^6 L) x (121 + 273) K / (11 + 273) K = 1.96 × 10^6 L

  • david
    Lv 7
    3 years ago

    If 34.5 mol of an ideal gas is at 2.23 atm and 411 K, what is the volume of the gas

    PV = nRT

    V = [34.5 X 0.0821 X 411] / 2.23 <<< use a calculator.. answer will be L

    A hot air balloon is filled with 1.41 × 106 L of an ideal gas on a cool morning (11 °C). The air is heated to 121 °C. What is the volume of the air in the balloon after it is heated? Assume that none of the gas escapes from the balloon.

    1.41 × 106 L X [121 + 273] / [11 + 273] <<< use a calculator

Still have questions? Get your answers by asking now.