document.write( "Question 1145506: A piece of capillary tubing was calibrated in the following manner. A clean sample of the tubing weighed 3.247g. A thread of mercury, drawn into the tube, occupied a length of 23.75mm, as observed under a microscope. The weight of the tube with the mercury was 3.489g. The density of mercury is 13.60g/cubic centimeters. Assuming that the capillary bore is a uniform cylinder, find the diameter of the bore
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Algebra.Com's Answer #766739 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "This problem assumes to use grams as the measure unit of force. So, it is intended for the very old system of units \r\n" );
document.write( "which was in use before 1960.\r\n" );
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document.write( "It also assumes that the student knows the basics about \"capillary action\" and \"surface tension\" from Physics.\r\n" );
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document.write( "I am not going to teach you these basics here. Instead, I refer you to these Wikipedia articles\r\n" );
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document.write( "    https://en.wikipedia.org/wiki/Capillary_action\r\n" );
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document.write( "    https://en.wikipedia.org/wiki/Surface_tension    (*)\r\n" );
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document.write( "    https://en.wikipedia.org/wiki/Meniscus_(liquid)\r\n" );
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document.write( "Hope you will have interesting reading.\r\n" );
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document.write( "The idea of solution is that capillary force, that acts at the contact of the mercury column in the tubing \r\n" );
document.write( "with the tubing walls KEEPS in EQUILIBRIUM the weight of this vertical mercury column.\r\n" );
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document.write( "The weight of the mercury column is  3.489 grams - 3.247 grams = 0.242 grams.\r\n" );
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document.write( "The capillary force is  , where pi = 3.14,  d is the diameter under the question and  is the surface tension of Mercury.\r\n" );
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document.write( "So, your basic equation to find  the diameter \"d\" from this experiment is\r\n" );
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document.write( "     = 0.242 grams,  or  d = ,\r\n" );
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document.write( "The value of the surface tension coefficient for Mercury you can find in the second Wikipedia article in the list above,\r\n" );
document.write( "marked by (*).\r\n" );
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