Taylor 200-mesh opening (screen size conversion):\nWhat is the nominal opening of a 200-mesh screen in the Taylor series?

Introduction / Context:
Mesh numbers must often be converted to metric openings for process calculations, equipment selection, and lab reporting. The Taylor (Tyler) series and ASTM E11 provide standard correspondences; 200 mesh is a common fine sieve used in mineral and cement labs.

Given Data / Assumptions:

• “200 mesh” means 200 openings per linear inch.
• Taylor series nominal opening for 200 mesh ≈ 0.074 mm.

Concept / Approach:
One inch equals 25.4 mm. A 200-mesh screen therefore has nominal clear openings on the order of 25.4/200 mm, modified by wire diameter selection in the standard series, giving approximately 0.074 mm. Converting 0.074 mm to centimetres gives 0.0074 cm. Beware distractors that shift the decimal or mix units (milli-microns are nanometers). Option (e) also states 0.074 mm explicitly and may be considered equivalent numerically; however, within the provided choices, the canonical Taylor listing is often given as 0.0074 cm, which equals 0.074 mm.

Step-by-Step Solution:

Verification / Alternative check:
Reference tables list 200 mesh ≈ 74 micrometres (0.074 mm), confirming 0.0074 cm equivalence.

Why Other Options Are Wrong:

• 0.0074 mm: off by a factor of 10.
• 0.0047 cm: corresponds to 47 µm, not 74 µm.
• 74 milli-microns (74 nm): off by three orders of magnitude.

Common Pitfalls:
Mistaking mesh count as a direct inverse without considering standard tables and wire diameters; always consult standardized values.

Final Answer:
0.0074 cm