Acarnot engine operates between a hot reservoir temperature of 215 degrees c and a cold reservoir temperature of 20 degrees c. if the engine draws 1000 j from the hot reservoir per cycle, how much work will it do per cycle?

a, 1000 j
b, 100 j
c, 400 j
d, 600 j
e, 900 j

c. 400 J

Explanation:

The efficiency of a Carnot Engine is given by:

where in this case we have

is the temperature of the cold reservoir

is the temperature of the hot reservoir

Substituting into the equation,

But the efficiency can also be written as

where

is the useful work in output

is the heat absorbed by the hot reservoir

Here,

So solving the formula for we find

260 miles per hour

explanation:

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: