I need help with my homework. Please show me the calculation. ### Problem Set: Gas Laws and Calculations1. **Isothermal Compression of a Perfect Gas** - A perfect gas undergoes isothermal compression, reducing its volume by 2.20 dm³. The final pressure and volume of the gas are 5.04 bar and 4.65 dm³, respectively. Calculate the original pressure of the gas in: - (i) bar - (ii) atm2. **Reaction in a Vessel** - A vessel of volume 22.4 dm³ contains 2.0 mol H₂ and 1.0 mol N₂ at 273.15 K initially. All the H₂ reacted with sufficient N₂ to form NH₃. Calculate the partial pressures and the total pressure of the final mixture.3. **Properties of Air Molecules** - Assume that air consists of N₂ molecules with a collision diameter of 395 pm. Calculate: - (i) The mean speed of the molecules - (ii) The mean free path - (iii) The collision frequency in air at 1.0 atm and 25 °C.4. **Van der Waals Gas Behavior** - A certain gas obeys the van der Waals equation with \( a = 0.50 \, \text{m}^6 \, \text{Pa} \, \text{mol}^{-2} \). Its volume is found to be \( 5.00 \times 10^{-4} \, \text{m}^3 \, \text{mol}^{-1} \) at 273 K and 3.0 MPa. From this information, calculate the van der Waals constant \( b \). What is the compression factor for this gas at the prevailing temperature and pressure?

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1. A perfect gas undergoes isothermal compression, which reduces its volume by 2.20 dm³. The final pressure and volume of the gas are 5.04 bar and 4.65 dm³, respectively. Calculate the original pressure of the gas in (i) bar, (ii) atm. A vessel of volume 22 1 dm3 contains 2.0 mol H and 1.0 mol N at 273 15 K initially AII

1. A perfect gas undergoes isothermal compression, which reduces its volume by 2.20 dm³. The final pressure and volume of the gas are 5.04 bar and 4.65 dm³, respectively. Calculate the original pressure of the gas in (i) bar, (ii) atm. A vessel of volume 22 1 dm3 contains 2.0 mol H and 1.0 mol N at 273 15 K initially AII

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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