Problem

Ensuring a tight fit. Aluminum rivets used in air…

02:29

Problem 15 Medium Difficulty

A glass flask whose volume is 1000.00 $\mathrm{cm}^{3}$ at $0.0^{\circ} \mathrm{C}$ is completely filled with mercury at this temperature. When flask and mercury are warmed to $55.0^{\circ} \mathrm{C}, 8.95 \mathrm{cm}^{3}$ of mercury over- flow. Compute the coefficient of volume expansion of the glass. (Consult Table $14.2 . )$

Answer

$\beta_{\text {flask}}=1.7 \times 10^{-5}\left(\mathrm{C}^{\circ}\right)^{-1}$

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Physics 101 Mechanics

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Video Transcript

they could look the question so question was asking us computer coefficient of a bottle necks, pensionable glass while first That's trying to find out the final one off the Mercury after expansion. Okay, so now we know that the final model of the Mercury's you could the initial volume of the Mercury Times one plus a coefficient of expansion of mercury times the change in temperature and beta. But that Father Mercury just 18 times 10 to the power bi over degree Celsius. And she intended is 55 degrees Celsius since his fans hero who could be by three Celsius initial Marie one waas. Huh? Sorry. 1000 Santa Mira to Okay, so, no, if we planning all the number will get 1000 Santa Mira Cube times one plus, But I am with just 18 turns. Change of power notify over degrees Celsius. Okay, in times end times 55 the resources and they will give us 1000 and I for nine centimeter tube. So that's the by no temperature off the Mercury Avenue expansion. Okay, Now we know if we use the final temperature of a final volume off the mercury of the expansion minus the I know. Volume off the glass. We'll have the bottom That is overflow from the glass. Okay, which is a point. No, If I Centimeter Cube, we know the final volume of mercury at the expansion, but we don't know the final warning off glass of expansion. So how can we hear you out? Well, was plugged into the same former with sweet final glass Steagall to re initial glass times one that speeder dalati. Okay. And the whole point of his question was, figure out the bait out here, the better for the glass. So you sort of eso for the beta when I was plugging the V I times one plus betas lt to represent the final. So Subsys too. We, uh, times one plus a reality for we find them. Okay, And we'll get final one of mercury minus b I times one plus beta. Other tea equals do a point if I Centimeter Cube. So we're in a week that the final walling off Mercury upper expansion is 1000. And I When I Santa Munich, you so minus we I How does one plus speeder though? That he will you go to a point knife. I sending me a cube. So we I times one plus beta times t we just went goes here 1009 who and I centimeter to you minus they 0.9 if I centimeter with you. Okay, We know the initial volume, but the glass was 1000 as well. So? And a change in temperature is 55 areas. Well, so just 1000 times one plus beta turns 55 degree Celsius. And this is standing in a cube. Okay. Would you go to such things? You go to 1000 on nine by send in Munich. You Now let's do some calculations. Will obey that. Okay. Want us identify. Degree eyes. Beta is equal to 1000.95 centimeter cube. Do you have about 1000 centimeter cube? Okay, So our beta well, eventually you go to take motion 1.7 times. General Paolo, magnify over degree Celsius. So that's the coefficients off warning expansion off glass. Okay. And thank you is my answer for this question.

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