Calculate the work performed by an ideal carnot engine as a cold brick warms from 150 k to the temperature of the environment, which is 300 k. (use 300 k as the temperature of the hot reservoir of the engine). the heat capacity of the brick is c = 1 kj/k.

To solve this problem, apply the concepts related to the calculation of the work performed according to the temperature change (in an ideal Carnot cycle), for which you have to:

Where,

C = Heat capacity of the Brick

= Cold Temperature

= Hot Temperature

Integrating,

Our values are given as

Replacing,

Therefore the work perfomed by this ideal carnot engine is 58kJ

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

answer is slate

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