Q. A liquid empressed in a cylinder has a volume of 0.0113 m³ at 0.87 * 10 ^ 6 * N / (m ^ 2) pressure and a volume of 0.0112 m³ at 13.73 * 10 ^ 6 * N / (m ^ 2) pressure. What is its bulk modulus?

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Q. A liquid empressed in a cylinder has a volume of 0.0113 m³ at 6.87 * 10-⁶ N / (m ^ 2) pressure and a volume of 0.0112 m³ at 13.73 * 10⁶ * N /M² pressure. What is its bulk modulus?

SOLUTION:
Bulk modulus
K =- dp/ (du/ V)
dp = (13.73 * 10⁶ – 6.87 * 10⁶)
= 6.86 * 10⁶ * N /m²
dv = (0.112 – 0.0113) = – 0.0001m³
V = 0.011m³
K = (6.86 * 10⁶ * 0.0113)/0.0001
= 7.75 * 10 ^ 8 N /m²
= 0.775 GN/m²

 

Q. A liquid empressed in a cylinder has a volume of 0.0113 m³ at 8.87 * 10 ⁶ N / (m ^ 2) pressure and a volume of 0.0112 m³ at 14.73 * 10⁶ * N / (m ^ 2) pressure. What is its bulk modulus?

SOLUTION:
Bulk modulus
K =- dp/ (du/ V)
dp = (14.73 * 10⁶ – 8.87 * 10⁶)
= 5.86 * 10⁶ * N /m²
dv = (0.0112 – 0.0113) = – 0.0001m³
V = 0.011m³
K = (5.86 * 10⁶ * 0.0113)/0.0001
= 6.62 * 10⁸ N /m²

Q. A liquid empressed in a cylinder has a volume of 0.0113 m³ at 9.87 * 10 ⁶ N / (m ^ 2) pressure and a volume of 0.0112 m³ at 14.73 * 10⁶ * N / (m ^ 2) pressure. What is its bulk modulus?

SOLUTION:
Bulk modulus
K =- dp/ (du/ V)
dp = (14.73 * 10⁶ – 5.87 * 10⁶)
= 4.86 * 10⁶ * N /m²
dv = (0.112 – 0.0113) = – 0.0001m³
V = 0.011m³
K = (4.86 * 10⁶ * 0.0113)/0.0001
= 5.49* 10⁸ N /m²

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