Imagine that the aggregate production function is given by Y = F(K, AeL), in which e is workers’ effort. The function F satisfies the usual properties, including constant returns to scale in its two inputs, K and AeL. What happens if e increases?
Suppose a population is composed of only 3 measures: 1, 2, and 3. The possible samples of size 2 can be draw from this population. List all the possible sample size 2 when repetition is allowed or with replacement. With solution
Calculate the length of the resistor of a circular wire used in a heater element connected to a 240V supply and the heater consumes 8 joules of energy in 0,25 seconds. The resistor element is made of aluminium and it has a uniform cross-sectional area with a diameter of 0,00016 inches.
Aqueous solutions of potassium hydrogen sulfate and potassium hydroxide react to form aqueous potassium sulfate and liquid water. How many moles of potassium hydroxide are necessary to form 0.636 moles of potassium sulfate?
A quantity of NaOH of mass 1.1g is dissolved in water and made up to 250cm³ in a graduated flask. A 20cm³ of the solution neutralizes 20.4cm³ of a solution of acetic acid of ph=2.85
Calculate
a. Number of moles of NaOH in the 250cm³ solution
b. Number of moles of acetic acid in 1dm³ of the solution
In a fuel economy study, each of 3 race cars is tested using 5 different brands of gasoline at 7 test sites located in different regions of the country. If 2 drivers are used in the study, and test runs are made once under each distinct set of conditions, how many test runs are needed?
State the volume of hydrogen gas produced at s.t.p when using 30g of Zinc is added to excess dilute hydrochloric acid at 33⁰C and pressure ( H= 1, Zn =65, Cl = 35.5 ) molar mass of gas ay s.t.p = 22.4dm³
A 1.00-g cork ball with charge 2.00 *C is
suspended vertically on a 0.500-m-long light string in the
presence of a uniform, downward-directed electric field of
magnitude E ! 1.00 & 105 N/C. If the ball is displaced
slightly from the vertical, it oscillates like a simple pendulum.
(a) Determine the period of this oscillation.
(b) Should gravity be included in the calculation for part
(a)? Explain.
The reaction goes to completion, but in the process of washing and drying the precipitate, some was lost. The percent yield for the reaction is 79.9%
79.9%. How many grams of precipitate are recovered?
precipitate recovered:
How many grams of the excess reactant remain? Assume the reaction goes to completion.
excess reactant remaining:
The reaction goes to completion, but in the process of recovering the product, some of it was lost. The the percent yield for the reaction is 82.2%.
82.2%. How many grams of product are recovered?
mass of product recovered:
How many grams of the excess reactant remain? Assume the reaction goes to completion.
mass of excess reactant: