Q.

If compressibility of a material is 4×10-5 per atm.  If pressure is 100 atm and volume is 100 cm3, then find the value of ΔV.

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a

0.4 cm3

b

0.8 cm3

c

0.6 cm3

d

0.2 cm3

answer is A.

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Detailed Solution

Given, k=4×10−5 per atm p=100atm and  V=100cm3=100×10−8m3∵ Compressibility =1 Bulk modulus of elasticity k=1ΔpVΔV=ΔVΔpV∴ΔV=k(ΔpV)=4×10−5100×100×10−8=0.4×10−8m3=0.4cm3
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