Calculate the volume of a piece of glass and a similarpiece of metal at 0 degree

Question

Calculate the volume of a piece of glass and a similarpiece of metal at 0 degrees C. Then do the calculation againat 80 degrees C. This would replicate a glass jar with ametal lid being taken out of the refigerator (which weapproximate with a 0 degree C) and being put under hot waterin order to be opened (which we approximate with the 80 degreeC). We want to see how much of a gap difference exists betweenthese two materials due to the expansion of the metal that makes ametal lid easier to open under hot water. Calculate the volume of a piece of glass and a similarpiece of metal at 0 degrees C. Then do the calculation againat 80 degrees C. This would replicate a glass jar with ametal lid being taken out of the refigerator (which weapproximate with a 0 degree C) and being put under hot waterin order to be opened (which we approximate with the 80 degreeC). We want to see how much of a gap difference exists betweenthese two materials due to the expansion of the metal that makes ametal lid easier to open under hot water.

Explanation / Answer

Calculate the volume of a piece of glass and a similarpiece of metal at 0 degrees C. Then do the calculation againat 80 degrees C. This would replicate a glass jar with ametal lid being taken out of the refigerator (which weapproximate with a 0 degree C) and being put under hot waterin order to be opened (which we approximate with the 80 degreeC). We want to see how much of a gap difference exists betweenthese two materials due to the expansion of the metal that makes ametal lid easier to open under hot water.
as there is no specific material let us solve the problem ingeneral.

let the initial volume of the glass be v1
and volume at 80 degree be v2
similarly
for the metal
let the initial volume of the metal be V1
and volume at 80 degree beV2
for glass
v2-v1=g*v1*80
where g is coefficient of volume expansion of the glass
for metal
V2-V1=m*V1*80
m is coefficient of volume expansion of the metal.
calculating these values we will get the gap differenceexists between these two materials due to the expansion of themetal that makes a metal lid easier to open under hot water.

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