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Mechanical Properties of Solids

Bulk modulus

The bulk modulus of water is 2.3 10^{9} {~N} / {m}^{2}. (a) F

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Medium

Solving time: 3 mins

The bulk modulus of water is $2.3 \times 1 0^{9} N / m^{2}$ .
(a) Find its compressibility in the units atm $^{- 1}$ .
(b) How much pressure in atmospheres is needed to compress a sample of water by $0.1%$ ?

Name: Video solution 1: The bulk modulus of water is 2.3×109 N/m2.(a) Find its compressibility in the units atm −1.(b) How much pressure in atmospheres is needed to compress a sample of water by 0.1% ?
Uploaded: 2023-08-15T15:27:53.000Z
Duration: 12 min
Description: Video solution 1: The bulk modulus of water is 2.3×109 N/m2.(a) Find its compressibility in the units atm −1.(b) How much pressure in atmospheres is needed to compress a sample of water by 0.1% ?

Views: 6,274 students

Updated on: Aug 15, 2023

Book:

Mechanics Volume 2 (DC Pandey)

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Liam Discussed

The bulk modulus of water is

2.3 \times 1 0^{9} N / m^{2}

.
(a) Find its compressibility in the units atm

^{- 1}

.
(b) How much pressure in atmospheres is needed to compress a sample of water by

0.1%

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

Here,

B = 2.3 \times 1 0^{9} N / m^{2}

= \frac{2.3 \times 1 0 ^{9}}{1.01 \times 1 0 ^{5}} = 2.27 \times 1 0^{4} atm

(a) Compressibility

= \frac{1}{B} = \frac{1}{2.27 \times 1 0 ^{4}} = 4.4 \times 1 0^{- 5} atm^{- 1}

(b) Here,

\frac{Δ V}{V} = - 0.1% = - 0.001

Required increase in pressure,

Δ p = B \times (- \frac{Δ V}{V}) = 2.27 \times 1 0^{4} \times 0.001 = 22.7 atm

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Question Text	The bulk modulus of water is $2.3 \times 1 0^{9} N / m^{2}$ . (a) Find its compressibility in the units atm $^{- 1}$ . (b) How much pressure in atmospheres is needed to compress a sample of water by $0.1%$ ?
Updated On	Aug 15, 2023
Topic	Mechanical Properties of Solids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	163
Avg. Video Duration	12 min

The bulk modulus of water is $2.3 \times 1 0^{9} N / m^{2}$ .
(a) Find its compressibility in the units atm $^{- 1}$ .
(b) How much pressure in atmospheres is needed to compress a sample of water by $0.1%$ ?

Text solutionVerified

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The bulk modulus of water is 2.3×109 N/m2.(a) Find its compressibility in the units atm −1.(b) How much pressure in atmospheres is needed to compress a sample of water by 0.1% ?

Text solutionVerified

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The bulk modulus of water is $2.3 \times 1 0^{9} N / m^{2}$ .
(a) Find its compressibility in the units atm $^{- 1}$ .
(b) How much pressure in atmospheres is needed to compress a sample of water by $0.1%$ ?