A 1.00 L rigid cylinder contains one mole of neon gas at 25 °C. Calculate the pressure using (a) the ideal gas law, and (b) the van der Waals equation. (c) A much more accurate equation is the virial equation, pVm B(T) ¸ C(T) 1+ RT where B(T) and C(T) are functions of temperature. For neon at 25°C, the values of B(T) and C(T) are 11.42 cm3.mol1 and 221 cm6.mol2, respectively. Assuming the pressure calculated using the virial equation is the "true" value, determine the percent error by using ideal gas law and van der Waals equation.

A 1.00 L rigid cylinder contains one mole of neon gas at 25 °C. Calculate the pressure using (a) the ideal gas law, and (b) the van der Waals equation. (c) A much more accurate equation is the virial equation, pVm B(T) ¸ C(T) 1+ RT where B(T) and C(T) are functions of temperature. For neon at 25°C, the values of B(T) and C(T) are 11.42 cm3.mol1 and 221 cm6.mol2, respectively. Assuming the pressure calculated using the virial equation is the "true" value, determine the percent error by using ideal gas law and van der Waals equation.

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...

See similar textbooks

Similar questions

At 287 K and 1.43*10^-2 atm, the density of a gas is 1.37*10^-5 g/cm^3. (a) Find the Vrms for the gas molecules. (b) Find the molar mass of the gas.
A gas sample has a mass of 1.211 g and occupies a volume of 677 mL. The temperature in the laboratory is 23 ⁰C and the gas pressure is 100. kPa. What is the molar mass of the gas?
Using (a) the ideal gas law and (b) the van der Waals equation, calculate the pressure exerted by 50.0 g carbon dioxide in a 1.00-L vessel at 25°C. Do attractive or repulsiveforces dominate?
The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between pressure p, volume V and temperature T for gases better than the Ideal Gas Law does: 2 p+a (V-nb)=nRT The van der Waals equation of state. R stands for the gas constant and n for moles of gas. v? The parameters a and b must be determined for each gas from experimental data. Use the van der Waals equation to answer the questions in the table below. What are the units of a? What are the units of b? For ammonia the numerical value of a is 4.169 and the numerical value of b is 0.0371. atm Use the van der Waals equation to calculate the pressure of a sample of ammonia at 195.0 °C with a molar volume of 4.12 L/mol. Round your answer to 3 significant digits. Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round this answer to 3 significant digits also. || atm O
The critical pressure, Pe, and the critical temperature, Te, of gas A are 3.040 × 10° Pa and 473 K, respectively. (i) Calculate the van der Waals constants, a and b, for this gas. (ii) Gas A obeys the van der Waals equation. Calculate the pressure exerted by one mole of gas A if the molar volume occupied by this gas is 2.75 L/mol at 298 K.
The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between pressure p, volume V and temperature T for gases better than the Ideal Gas Law does: p+a n #2²7) (V- (V-nb)=nRT The parameters a and b must be determined for each gas from experimental data. Use the van der Waals equation to answer the questions in the table below. What are the units of a? The van der Waals equation of state. R stands for the gas constant and n for moles of gas. What are the units of b? For water the numerical value of a is 5.464 and the numerical value of b is 0.0305. Use the van der Waals equation to calculate the pressure of a sample of water at 430.0 °C with a molar volume of 1.92 L/mol. Round your answer to the correct number of significant digits. Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round your answer to the correct number of significant digits. 1 0 П atm atm x10 H X ロ・ロ S
The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between pressure p, volume V and temperature T for gases better than the Ideal Gas Law does: n (p+₁ +²2) (v- (V-nb)=nRT The parameters a and b must be determined for each gas from experimental data. Use the van der Waals equation to answer the questions in the table below. What are the units of a? The van der Waals equation of state. R stands for the gas constant and n for moles of gas. What are the units of b? For ethane the numerical value of a is 5.507 and the numerical value of b is 0.0651. Use the van der Waals equation to calculate the pressure of a sample of ethane at 105.0 °C with a molar volume of 5.27 L/mol. Round your answer to the correct number of significant digits. Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round your answer to the correct number of significant digits. 0 0 atm atm x10 DO X ロ・ロ

The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between pressure p, volume V and temperature I for gases better than the Ideal Gas Law does: 72 (V-nb)= nRT The van der Waals equation of state. R stands for the gas constant and n for moles of gas. The parameters a and b must be determined for each gas from experimental data. Use the van der Waals equation to answer the questions in the table below. What are the units of a? What are the units of b? For argon the numerical value of a is 1.337 and the numerical value of b is 0.0320. Use the van der Waals equation to calculate the pressure of a sample of argon at -110.0 °C with a molar volume of 2.98 L/mol Round your answer to the correct number of significant digits. atm Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round your answer to the correct number of significant digits. atm x10 §
Please don't provide handwritten solution .....