Homework Help: physics

Posted by Anonymous on Wednesday, November 21, 2007 at 10:59pm.

What change in temperature occurs in order to increase the volume of 16 L of ethyl alcohol to 17 L?
a)56.8*C b)1450*C c)53.5*C d) 90*C
I can't seem to get one of the answers.
I used the equation (change in volume)=beta(initial volume)(change of time).

1 L=(3)(1.12x10^-4)(16 L)(change in temperature)

change in temperature= 186

physics - DrBob222, Thursday, November 22, 2007 at 12:40am
I found this volume expansion coefficient on the web.
http://www.kayelaby.npl.co.uk/general_physics/2_3/2_3_5.html
physics - Anonymous, Thursday, November 22, 2007 at 1:25am
That still does not help me.
physics - bobpursley, Thursday, November 22, 2007 at 5:38am
I think your linear coefficent is not the one used to calculate the answers. Does your text have any other values? The expansion coefficient for ethyl alcohol varies with temperature, it is not a constant.
physics - drwls, Thursday, November 22, 2007 at 5:12pm
The bulk thermal expansion coefficient of liquid ethyl alcohol from 0 to 60 C is 1.075*10^-3 C^-1. You want to increase the volume by a factor of 17/16 = 1.0625

(delta V)/V = 1.075*10^-3 C^-1 * (delta T) = 1.0625
delta T = 99C

I would pick answer (d). They may have used a different reference, or a different temperature range, for the expansion coefficient.

The reference I used was
http://www.efunda.com/materials/common_matl/show_liquid.cfm?MatlName=AlcoholEthanol
I used the table of densities at different temperatures. It provides no number for the expansion coefficient itself
physics - -1', Sunday, January 27, 2013 at 12:01am
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-1' - 1, Sunday, January 27, 2013 at 12:01am
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physics - 1, Sunday, January 27, 2013 at 12:01am
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