. Show that: (34) ₁ = a V² for 1.0 mole of any gas that obeys the van der Waals equation of state.
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- An ideal gas with 2.20 mol is initially in state 1 with pressure p1 = 17.0 atm and volume V = 1060 cm. First it is taken to state 2 with pressure p2 = 1.70p, and volume V2 = 1.80V1. Then it is taken to state 3 with pressure p3 = 2.10p, and volume V3 = 0.476V1. What is the temperature of the gas in (a) state 1 and (b) state 2? (c) What is the net change in internal energy from state 1 to state 3? 3 %3D %3D %3D %3D (a) Number Units (b) Number Units Units (c) NumberA 1.8-L cubic container contains 0.46 mol of a certain gas at 26 °C. What is the net force due to the nitrogen on one wall of the container? I'm trying to use P=nRT/V but I can't get units to work outAn ideal gas with y = 1.67 is initially at 2°C in a volume of 8 L at a pressure of 1.00 atm. It is then expanded adiabatically to a volume of 8.5 L. What is the final temperature of the gas? -20°C -23°C 2.5°C -8.9°C 68°C
- Problem 3. The viral coefficients of a gas at 20 °C and 11.5 bar are B = -138 cm³ mol¹ and C=7222 cmº mol². Calculate the V (molar volume) Z (compressibility factor) of the gas. Use the equation below (R = 83.14 cm³ bar mol-¹ K-¹). PV 2 = ² = (1 + = + =) Z RTA cylinder of cross sectional area 0.0287 m^2 is filled with an ideal monoatomic gas. A mass of 47.4 kg is placed on top of the piston which is free to move without friction. The piston starts 0.61m above the base of the cylinder. The gas in the piston is initially at a temperature of 454.0 K and the pressure in the lab is 100kPa.How many moles of gas are in the cylinder?Suppose you have 0.61 moles of an ideal gas. What is the average kinetic energy of that gas (in units of kJ) if the temperature of the gas is 279.9K?