A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands more than the glass when it warms up, in such a way that the volume increases by 0.6%  that is, ΔVV0 = 6 ✕ 10−3  relative to the space available. Calculate the magnitude (in N/m2) of the normal force per square meter exerted by the juice if its bulk modulus is 1.5 ✕ 109 N/m2, assuming the bottle does not break.

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Chapter1: Units, Trigonometry. And Vectors
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A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands more than the glass when it warms up, in such a way that the volume increases by 0.6% 

that is, 
ΔV
V0
 = 6 ✕ 10−3

 relative to the space available. Calculate the magnitude (in N/m2) of the normal force per square meter exerted by the juice if its bulk modulus is 1.5 ✕ 109 N/m2, assuming the bottle does not break.

 

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