CHAPTER 3. Volumetric Properties of Pure Fluids 24 3.42. For methyl chloride at 100°C the second and third virial coefficients are: B -242.5 cm3.mol -1 C= 25,200 cmo.mol- Calculate the work of mechanically reversible, isothermal compression of 1 mol of methyl chloride from 1 bar to 55 bar at 100°C. Base calculations on the following forms of the virial equation: tot В С + V 32(a) ताी deal z=1+tv V2 (b) Z 1 B'P + C'P2 E0.0- Grst 130 С -В2 В and C'= В'" where ro boap A BEE 11 (RT)2 RT faups nisinos Why don't both equations give exactly the same result? HOS & BRIGE als A C 1 43 44

Liquid nitrogen has a density of 0.808 g/mL and boils at 77 K. Researchers often purchase liquid nitrogen in insulated 175-L tanks. The liquid vaporizes quickly to gaseous nitrogen (which has a density of 1.15 g/L at room temperature and atmospheric pressure) when the liquid is removed from the tank. Suppose that all 175 L of liquid nitrogen in a tank accidentally vaporized in a lab that measured 10.00m x 10.00m x 2.50m. What maximum fraction of the air in the room could be displaced by the gaseous nitrogen?

2. Given a closed container of volume 1 L containing 50 g of helium gas, calculate the following: a. The pressure at T = 6 K, assuming that the gas is an ideal gas. b. The pressure at T of state. = 6 K, assuming that the gas obeys van der Waal's equation c. The pressure at T 6 K, assuming that the gas obeys the virial equation of state truncated after the second term. = d. The state of the fluid at T = 4.2 K. (Hint: 4.2 K is below T. and 50 kg/m³ is greater than p, @ 4.2 K.)

Given the pressure - volume diagram in figure below. Assume ideal gas undergo cyclic process. Path AB is adiabatic compression while path CD is adiabatic expansion. Also, paths BC and DA are isochoric processes. Ifthe value of y is 1.5, and the ratio of VilVy = 10 a. Calculate: QoalQsc b. Calculate Was assuming initial volume Vi= 2L and Pi = 1 atm. P C

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