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 0.2% (that is, ΔV/V₀ = 2 × 10^–3) relative to the space available. Calculate the force exerted by the juice per square centimeter if its bulk modulus is 1.8 × 10⁹ N/m², assuming the bottle does not break. In view of your answer, do you think the bottle will survive?

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K = 0.100