A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The moonshine expands more than the glass when it warms up, in such a way that the volume increases by 0.4% (that is, AV/V = 4 x 10-3) relative to the space available. Calculate the force exerted by the moonshine per square centimeter if the bulk modulus is 1.8 x 109 N/m2, assuming the jar does not break. N/cm2 In view of your answer, do you think the jar survives? (Hint: How many atmospheres is this?) O No O Yes

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**Transcription:**

A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The moonshine expands more than the glass when it warms up, in such a way that the volume increases by 0.4% (that is, ΔV/V₀ = 4 x 10⁻³) relative to the space available. Calculate the force exerted by the moonshine per square centimeter if the bulk modulus is 1.8 x 10⁹ N/m², assuming the jar does not break.
\[ \boxed{\phantom{N/cm²}} \]
In view of your answer, do you think the jar survives? (Hint: How many atmospheres is this?)

○ No

○ Yes
Transcribed Image Text:**Transcription:** A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The moonshine expands more than the glass when it warms up, in such a way that the volume increases by 0.4% (that is, ΔV/V₀ = 4 x 10⁻³) relative to the space available. Calculate the force exerted by the moonshine per square centimeter if the bulk modulus is 1.8 x 10⁹ N/m², assuming the jar does not break. \[ \boxed{\phantom{N/cm²}} \] In view of your answer, do you think the jar survives? (Hint: How many atmospheres is this?) ○ No ○ Yes
Expert Solution
Step 1

The bulk modulus is given by,

K=Pressurevolumetric strainvolumetric strain=change in volume initial volume=VV

given that,

VV=0.004K=1.8×109 N/m2

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