Answer:

Explanation:
given,
moles of air compressed, n = 1.70 mol
initial temperature, T₁ = 390 K
Power supply by the compressor, P = 7.5 kW
Heat removed = 1.3 kW
Angular frequency of the compressor, f = 110 rpm = 110/60 = 1.833 rps.
Time of compression = time of the hay revolution
=
=
=
=0.273 s
Using first law of thermodynamics
U = Q - W
now,

Power supplied
= 7.5 kW
heat removed
= 1.3 kW
now,


we know,

C_v for air = 5 cal/° mol
= 5 x 4.186 J/mol°C = 20.93 J/mol°C
now,



the temperature change per compression stroke is equal to 47.57°C.
Answer:

Explanation:
The kinetic energy of an object is given by
where
is the mass of the object and
is the velocity of the object.
We can set up the following equations with the information given:

For part B, we have the same equation, but kinetic energy is now
.
Therefore:
.
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