What is the compressibility coefficient value for water under standard pressure and temperature conditions in kg/cm_________________?
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Answer: E. 21,000
Explanation
The bulk modulus of elasticity for water at standard conditions is approximately twenty-one thousand kg per square centimeter. This high bulk modulus value proves that water resists volumetric compression strongly under hydrostatic pressures. Incompressibility assumptions used in hydraulic engineering calculations rely on this large compressibility coefficient. The compressibility coefficient or bulk modulus measures a fluid's resistance to uniform volumetric compression. Standard atmospheric temperature and pressure conditions establish the baseline reference for water density and elasticity. Expressed in modern SI units, the bulk modulus of water equals approximately two point two gigapascals.
Hydraulic press systems transmit forces effectively because water and hydraulic oils exhibit very high bulk moduli. Oceanographers use water compressibility coefficients to calculate deep-sea density variations and hydrostatic pressures. Water hammer analysis in pipelines incorporates fluid compressibility to evaluate pressure wave propagation speeds. Option A suggests a modulus of one thousand, which underestimates water's resistance to volumetric compression. Option B represents two thousand one hundred, which is ten times lower than the true bulk modulus of water. Option D proposes ten thousand, which still falls short of the experimentally verified twenty-one thousand value.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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