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FE-CHEM

Free FE Chemical practice questions.

15 free practice questions with detailed solutions covering key FE Chemical exam domains.

These questions cover thermodynamics, fluid mechanics, heat transfer, material balances, chemistry, and more. Each includes a step-by-step solution.

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Question 1Probability & Statistics

A standard normal distribution has μ = 100 and σ = 10. What is the z-score for x = 110?

  • A.1.0
  • B.0.5
  • C.2.0
  • D.10
Show solution

Answer · A

z = (x - μ)/σ = (110 - 100)/10 = 1.0.

Question 2Engineering Sciences

A 10 kg mass accelerates at 2 m/s². What is the net force?

  • A.20 N
  • B.5 N
  • C.12 N
  • D.8 N
Show solution

Answer · A

Newton's 2nd law: F = ma = 10(2) = 20 N.

Question 3Materials Science

A material has Young's modulus E = 200 GPa and strain ε = 0.001. What is the stress?

  • A.200 MPa
  • B.200 GPa
  • C.20 MPa
  • D.2 GPa
Show solution

Answer · A

Hooke's law: σ = Eε = 200 × 10³ MPa × 0.001 = 200 MPa.

Question 4Chemistry & Biology

What is the pH of a 0.001 M HCl solution?

  • A.3
  • B.4
  • C.2
  • D.11
Show solution

Answer · A

HCl is a strong acid, fully dissociates. [H⁺] = 0.001 M = 10⁻³. pH = -log(10⁻³) = 3.

Question 5Fluid Mechanics & Dynamics

Water (ρ = 1000 kg/m³, μ = 0.001 Pa·s) flows at 1.0 m/s through a 50 mm pipe. What is the Reynolds number?

  • A.50,000
  • B.5,000
  • C.500
  • D.500,000
Show solution

Answer · A

Re = ρVD/μ = 1000(1.0)(0.050)/0.001 = 50,000. This is turbulent flow.

Question 6Thermodynamics

A Carnot engine operates between 600 K and 300 K. What is the maximum thermal efficiency?

  • A.50%
  • B.33%
  • C.67%
  • D.25%
Show solution

Answer · A

η_Carnot = 1 - Tc/Th = 1 - 300/600 = 0.50 = 50%.

Question 7Material & Energy Balances

A feed of 1000 kg/h enters a separator. Top product is 400 kg/h at 80% A. Bottom is 600 kg/h. What is the mass fraction of A in the bottom?

  • A.0.467
  • B.0.533
  • C.0.200
  • D.0.800
Show solution

Answer · A

Mass balance on A: 1000x_F = 400(0.80) + 600(x_B). If feed is 60% A: 600 = 320 + 600x_B → x_B = 280/600 = 0.467.

Question 8Heat Transfer

A flat wall (k = 2 W/(m·K), thickness 0.1 m) has surfaces at 100°C and 20°C. What is the heat flux?

  • A.1,600 W/m²
  • B.800 W/m²
  • C.160 W/m²
  • D.16,000 W/m²
Show solution

Answer · A

q = k·ΔT/L = 2(100-20)/0.1 = 2(80)/0.1 = 1,600 W/m².

Question 9Economics

What is the present worth of $5,000 received 5 years from now at i = 10%?

  • A.$3,105
  • B.$4,500
  • C.$2,500
  • D.$5,000
Show solution

Answer · A

P = F/(1+i)ⁿ = 5000/(1.10)⁵ = 5000/1.6105 = $3,105.

Question 10Thermodynamics

For an ideal gas at constant pressure, 2 moles are heated from 300 K to 400 K. Cp = 29 J/(mol·K). What is ΔH?

  • A.5,800 J
  • B.2,900 J
  • C.11,600 J
  • D.8,700 J
Show solution

Answer · A

ΔH = nCpΔT = 2(29)(400-300) = 2(29)(100) = 5,800 J.

Question 11Fluid Mechanics & Dynamics

Water flows through a pipe that narrows from 100 mm to 50 mm diameter. If inlet velocity is 2 m/s, what is the outlet velocity?

  • A.8 m/s
  • B.4 m/s
  • C.16 m/s
  • D.2 m/s
Show solution

Answer · A

Continuity: A₁V₁ = A₂V₂. V₂ = V₁(D₁/D₂)² = 2(100/50)² = 2(4) = 8 m/s.

Question 12Chemistry & Biology

Balance the reaction: _Fe + _O₂ → _Fe₂O₃. The coefficient for Fe is:

  • A.4
  • B.2
  • C.3
  • D.1
Show solution

Answer · A

4Fe + 3O₂ → 2Fe₂O₃. Iron coefficient = 4.

Question 13Materials Science

Which corrosion mechanism occurs when two dissimilar metals are in electrical contact in an electrolyte?

  • A.Galvanic corrosion
  • B.Pitting corrosion
  • C.Stress corrosion cracking
  • D.Erosion corrosion
Show solution

Answer · A

Galvanic corrosion occurs between dissimilar metals with different electrode potentials in an electrolyte. The more anodic metal corrodes preferentially.

Question 14Economics

Equipment cost $80,000 in 2018 (CEPCI = 603). Estimate cost in 2024 (CEPCI = 800).

  • A.$106,100
  • B.$95,000
  • C.$120,000
  • D.$80,000
Show solution

Answer · A

Cost₂ = Cost₁ × (Index₂/Index₁) = 80,000 × (800/603) = 80,000 × 1.327 = $106,100.

Question 15Engineering Sciences

A 5 kg object is lifted 10 m. How much work is done against gravity? (g = 9.81 m/s²)

  • A.490.5 J
  • B.50 J
  • C.500 J
  • D.98.1 J
Show solution

Answer · A

W = mgh = 5(9.81)(10) = 490.5 J.

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