The working substance of a certain Carnot engine is 1.60 mol of an ideal monatomic gas. During the isothermal expansion portion of this engine's cycle, the volume of the gas doubles, while during the adiabatic expansion the volume increases by a factor of 5.7. The work output of the engine is 970 J in each cycle. Required:
Compute the temperatures of the two reservoirs between which this engine operates.

Consumer surplus is: the difference between the price of a product and what consumers were willing to pay for the product. the difference between the discounted price of a product and its retail price. the difference between the price paid by consumers and the price required of producers. the difference between the price of a product and consumers' valuation of the last unit of the product purchased.

Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). however, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). what is the future value of a 13-year annuity of $2,800 per period where payments come at the beginning of each period? the interest rate is 9 percent. use appendix c for an approximate answer, but calculate your final answer using the formula and financial calculator methods. to find the future value of an annuity due when using the appendix tables, add 1 to n and subtract 1 from the tabular value. for example, to find the future value of a $100 payment at the beginning of each period for five periods at 10 percent, go to appendix c for n = 6 and i = 10 percent. look up the value of 7.716 and subtract 1 from it for an answer of 6.716 or $671.60 ($100 × 6.716)

> > objectives define federalism and explain why the framers adopted a federal system instead of a unitary system. categorize powers delegated to and denied to the national government, and powers reserved for and denied to the states, and the difference between exclusive and concurrent powers.