What will be the decrease in volume of 100 cm3
of water under pressure of 100 atm if the compressibility of water is 4x10- per unit atmospheric pressure?
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Answer:
The compressibility of water is 4x10 per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be. (a) 0.4 cc.
Explanation:
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[Q]__?
Bulk modulus (B)= 1 /compressibility = 1 /k
= 1 /4×10^-5 = 0. 25×10^5 atm
= 0.25 × 10^5 × 1.013 × 10^5 Nm-2
= 2.533 × 10^9 Nm^-2
Volume, V= 100 cm^3 = 10^-4 m^3
Pressure, p = 100 atm
= 100 × 1.013 ×10^5 Nm^-2
= 1.013× 10^7 Nm^-2
UsinG
• 1 /B = k = ∆V /pV
∴ ∆V = PV /B
= [1.013 × 10^7 × 10^-4] /2.533×10^9
Decrease in volume,
∆V = 0.4 × 10^-6 m^3
= 0.4 cm^3
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