Question

In: Mechanical Engineering

Determine which of the following sets of data satisfy the first law of thermodynamics? (Recall that...

Determine which of the following sets of data satisfy the first law of thermodynamics? (Recall that E = total energy = U + KE + PE)

a. W = 50 kJ Q = 170 kJ DeltaE = 120 kJ

b. W = 100 Btu Q = -110 Btu DeltaE = -210 Btu

c. W = 250 kJ Q = -110 kJ DeltaE = -100 Wh

d. W = 44 kPa-m3   Q = -84 kPa-m3 DelatE = 40 kN-m

Solutions

Expert Solution

The first law of thermodynamics is an application of the law of conservation of energy which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. The first law can be formulated as ΔE = Q - W

a. ΔE = 120 kJ ; W = 50 kJ ; Q = 170 kJ

This set of data satisfies the 1st law.

b. ΔE = -210 Btu ; W = 100 Btu ; Q = -110 Btu

This set of data satisfies the 1st law.

c. ΔE = -100 Wh = -360 kJ ; W = 250 kJ ; Q = -110 kJ

This set of data satisfies the 1st law.

d. ΔE = 40 kN-m = 40 kPa-m3 ; W = 44 kPa-m3 ; Q = -84 kPa-m3

This set of data does not satisfy the 1st law.


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