GATE AG 2009 • Q56 MCQ • 1 Mark

Section 6: Agricultural Process Engineering

Storage Systems

Subtopic: Controlled and modified atmosphere storage

Question Statement:

(Statement for Q.55–56 as above.)

Options:

  • (A) 1.35 × 10⁻¹²
  • (B) 2.47 × 10⁻¹²
  • (C) 3.59 × 10⁻¹²
  • (D) 5.41 × 10⁻¹²

Official Answer Key:

A

Step-by-Step Solution & Explanation

For two resistances in series, total resistance R_total = R_polyethylene + R_nylon = 3.597×10⁷ + 6.579×10⁹ = 6.615×10⁹. Volumetric (STP) flux N_v = Δp/R_total = (0.21−0.01)/6.615×10⁹ = 3.023×10⁻¹¹ m³(STP)/m²·s. Converting to molar flux using the STP molar volume (22.414 m³/kmol): N_molar = 3.023×10⁻¹¹/22.414 = 1.349×10⁻¹² kg-mol m⁻² s⁻¹ ≈ 1.35×10⁻¹², matching option (A). Section 7 — Dairy and Food Engineering

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