A pipe fitted with a closed valve connects two tanks. One tank contains a 5kg mixture of 62.5 percent CO2 and 37.5 percent O2 on a mole basis at 30C and 125kpa. The second tank contains 10kg of N2 at 15C and 200kPa. The valve in the pipe is opened and the gases are allowed to mix. During the mixing process 100kJ of heat enrgy is supplied to the combined tanks. Determine the final pressure and temperature of the mixture and the total volume of the mixture.

Let C be the closed path that travels from (0, 0) to (1, 1) along y = x^2 , then from (1, 1) to (0, 2) along y = 2 − x^ 2 , and finally in a straight line from (0, 2) to (0, 0). Evaluate Z C e ^3−x √ 3 − x ) dx + (5x − y √ y^2 + 2) dy

Consider the water-shift gas reaction:

H2O + CO --> H2 + CO2

A closed reaction vessel maintained at 3000 degrees Celcius is filled with 0.475 M H2 and 0.490 M CO2. At equilibrium, their respective concentrations are 0.410 and 0.425 M.

PART A:

The following ratio represents

[H2][CO2] / [H2O][CO]

CHOOSE ONE OR MORE:

the law of mass action, the mass action expression, the equilibrium constant expression, the equilibrium constant. none of these

PART B:

which way must the system shift in order to attain equilibrium

CHOOSE ONE

to the right, to the left, cannot be determined

PART C:

the value 41.0, represents

CHOOSE ONE OR MORE

the law of mass action, the mass action expression, the equilibrium constant expression, the equlibrium constant, none of these

PART D:

The equilibrium constant, Kc, is unitless, why?

CHOOSE ONE

in the expression for Kc, molarities are always used so units are redundant

the cncentrations in K are theoretically ratios of the concentrations to an ideal standard 1.000 M

the concentration units are ignored. K actually has units if there aren't equal numbers of M units in thenumerator and the denominator

In large steam power plants, the feedwater is frequently heated in closed feedwater heaters (basically heat exchangers) by steam extracted from the turbine at some stage. Steam enters the feedwater heater at 1.5 MPa and 250℃ and leaves as saturated liquid at the same pressure. Feed water enters the heater at 2.5 MPa and 60℃ and leaves at 10℃ below the exit temperature of the steam. Neglecting any heat losses from the outer surfaces of the heater, determine (a) the ratio of the mass flow rates of the extracted steam and the feedwater heater and (b) the total entropy change for this process per unit mass of the feedwater.

Question:

The economic shocks due to the current pandemic began with a supply-side contraction: businesses closed their doors and laid-off workers, leading to significant reductions in output and income. Use what means of analysis is at your disposal to explain what the consequences of such a shock are for financial and economic performance in the short run. Then consider the shock to be exacerbated by pessimism about the future, with government responses taking the form of debt-financed transfers. Explain some possible implications of this for financial market behavior during the recovery.

IS-LM Model (Closed Economy)

The following equations describe a small open economy.

[Figures are in millions of dollars; interest rate (i) is in percent]. Assume that the price level is fixed.

Goods Market                                            

C = 250 + 0.8YD

YD = Y + TR – T

T = 100 + 0.25Y

I = 300 – 50i

G = 350; TR = 150

Money Market

L = 0.25Y – 62.5i

Ms/P = 250

Goods market equilibrium condition: Y = C + I + G + X-M

Money market equilibrium condition: L = Ms/P

a) What is the equation that describes the IS curve (Y_IS)?

b) What is the equation describing the LM curve (Y_LM)?

c) What are the equilibrium levels of income (Y_o) and interest rate (i_o)

Suppose the U.S. has a closed economy with GDP (Y) equal to $20.3 trillion, consumption (C) equal to $12.0 trillion, government spending (G) equal to $3.9 trillion, transfer payments (TR) equal to $1.8 trillion, and taxes (T) equal to $4.2 trillion.

Suppose the government passes legislation to reduce the size of its debt by reducing government spending by $0.4 trillion. What must happen to total savings (S)? That is, what is the dollar amount by which total savings changes? Assume the values for GDP, consumption, taxes, and transfer payments do not change.  Provide your answer in trillions of dollars rounded to one decimal place. Use a negative sign "-" for negative changes. Do not include any symbols, such as "$," "=," "%," or "," in your answer.

11) The wave function of a many-electron closed-shell atom can be expressed as a Slater determinant. A useful property of determinants is that interchanging any two rows or columns changes their sign and therefore that if any two rows or columns are identical, then the determinant vanishes.

Use this property to show that (a) no two electrons can occupy the same orbital with the same spin.

7. Consider the following income-expenditure model of a closed economy. The aggregate consumption function is C = 100 +0.8(Y – T); taxes are T = 380; investment, I, is 300 and government expenditure, G, is 200.

(a) Calculate the multiplier, equilibrium income and the government budget surplus [6 marks]

(b) Now let taxes, T = 10 + 0.25Y. Recalculate the multiplier, equilibrium income and the government budget surplus. Try to explain any differences between your answers and your answers to part (a). [10 marks]

(c) Now we further extend the model and open the economy to trade. Let net exports be NX = 444 - 0.3Y. Keep the tax function as in (b). Recalculate the multiplier and equilibrium income and again explain any differences between your answers and those in part (b).