An ideal gas is expanded adiabatically into a vacuum. Decide which of q, w, AU, and AH are positive, negative, or zero.

From the following equations we learned from this unit to calculate moving boundary work, select the one that also must assume ideal gas. W = P¡V1 ln for isothermal process. PV2-P,V1 for polytropic process. O Wb 1-n Wi = (P1 + P2) (V½ – V1)for a process where pressure is determined by a linear spring.

Problem 1 and 2 please If you can’t answer two , answer at least problem no 2

Problem 1 One kilogram on a diatomic ideal gas undergoes the following four step process starting at Point A (100 kPa, 300K, 4 m³) • A => B • B => C Isothermal compression that quarters the volume (to 1 m³) Isobaric expansion that triples the temperature (to 900K) Adiabatic expansion to the original volume (to 4 m³). Isochoric process to the original pressure (to 100 kPa). • C => D • D=> A (a) Determine P, V, and T, for all points. (b) What is AU, Q, W, AH & AS for each leg of the cycle? (c) What is the efficiency of this cycle? ( d) Sketch a P-V diagram and T-S diagram, indicating P, V, T, for all points & AU, Q, W, AH & AS for each leg. Problem 2 Repeat problem one for a monoatomic ideal gas. Compare the Thermal Efficiency of a monoatomic ideal gas to the Thermal Efficiency of a diatomic ideal gas for this same cycle cs Scanned with CamScanner

An ideal gas is undergoing a process in which temperature and volume relation is TaV5 . Calculate the work done by the gas is going from state -1 in which pressure is 100 bar and the volume is 4 m' to a state-2 in which the volume is 2 m'. Also calculate the pressure at the state-2 of the system. a) P, = 264 bar and W =-32 MJ b) P, = 274 bar and W =-42 MJ c) P = 266 bar and W = 36 MJ d) P, = 364 bar and W = 52 MJ

5. If a gas of volume 6000 cm³ and at pressure of 100 kPa is compressed quasi-statically according to PV² = constant until the volume becomes 2000 cm³, determine the final pressure and the work transfer.

PROBLEM 9. A bottle of milk was taken from a refrigerator and put in a bowl of hot water to warm. According to Newton's empirical law of cooling, change of temperature of the milk in the bottle M(t) and change of temperature of water in the bowl W (t) can be described by the differential equations dM dt = -k, (M – W) dW dt :-k2(W – Ta) – k3( – M), where t is time (in minutes), Tą is the ambient temperature, k, = 0.1, k2 = 0.03, and kg = 0.18 are constants of proportionality. The temperature in the refrigerator is 5°C, the room temperature is 20°C and the initial temperature of the water in the bowl is 80°C. a) Find the solution of the nonhomogeneous system X(t)=X.(t) + Xp(t) if the particular solution Xp(t) is given by: 20 20 b) Find the temperature of milk and water as function of time. c) Find the values of W (t) and M(t) when t → o.

I need an answer to all three, please help!

Nitrogen from a cylinder is bubbled through acetone at 1.1 bar and 323 K at the rate of 2 x 10^-4 m^3/min. The nitrogen, saturated with acetone vapor leaves at 1.013 bar, 308 K at the rate of 3.83 x 10^-4 m^3/min. What is the vapor pressure of acetone at 308 K?

One mole of a monatomic ideal gas is held  at the start  at a  pressure of 11 atm and 1 L. The gas undergoes isothermal expansion to 4 L followed by adiabatic expansion to 6 L.  The gas is then isothermally compressed to 1.70 atm and adiabatically compressed back to 1 L.