If the absolute temperature of a gas is halved and the pressure of the gas is doubled, how will the volume change? * It will increase by four times its original value. O It will stay the same as its original value. It will decrease to one fourth of its original value. It will decrease by two times its original value.

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!

A rigid tank is divided into two equal parts by a partition. One part of the tank contains 2.5 kg of compressed liquid water at 400 kPa and 60°C while the other part is evacuated. The partition is now removed, and the water expands to fill the entire tank. Determine the entropy change of water during this process, if the final pressure in the tank is 40 kPa.

An insulated tank is divided in half. One half contains 2 mol N2 at 2 bar and 30°C and the other half contains 1 mol Oz at 1 bar and 30°C. A valve is opened between the compartments. The final temperature of the gas inside the tank is 30°C. N2 2 bar. 30°C bar 30°C equal to O greater than O less than

A fixed volume tank has water in vapor-liquid equilibrium. A mole of methane is added to the system. All gases are ideal. The amount of water in the vapor phase [_ а. stays the same vapor b. increases 1 mỏl CH, С. decreases liquid

A) Define the following: Pipes in series, Dehydration, Critical point, Condensate, Real gas B) A 50-cubic ft tank contains gas at 50 psia and 50F°. It is connected to another tank that contains gas at 25 psia and 50Fº When the valve between the two is opened, the pressure equalizes at 35 psia at 50F° as in the adjacent figure. ÉT What is the volume of the second tank? Tank-2 Tank-1

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.