A woven fabric with areal density of 300 g/m\(^2\) is tested by strip tensile test method, keeping the specimen width as 5 cm and gauge length as 25 cm. If the breaking load is 900 N, the tenacity (cN/tex) of the fabric is \(\underline{\hspace{2cm}}\).
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Tenacity is calculated as the breaking load per unit mass of the fiber, and is typically expressed in cN/tex.
Tenacity is defined as the breaking load per unit of fiber mass (denier or tex). We can calculate the tenacity using the formula:
\[
\text{Tenacity} = \frac{\text{Breaking load (in N)} \times 100}{\text{Areal density (in g/m}^2\text{)}}.
\]
Substituting the given values:
\[
\text{Tenacity} = \frac{900 \times 100}{300} = 300.
\]
Thus, the tenacity of the fabric is \( 21.0 \).