SSM WWW An aluminum cup of 100 cm3 capacity is completely filled with glycerin a

Question

SSM WWW An aluminum cup of 100 cm3 capacity is completely filled with glycerin at 22 degree C. How much glycerin, if any, will spill out of the cup if the temperature of both the cup and the glycerin is increased to 28 degree C? (The coefficient of volume expansion of glycerin is 5.1 x 10-4 / C degree .) At 20 degree C, a rod is exactly 20.05 cm long on a steel ruler. Both the rod and the ruler are placed in an oven at 250 degree C, where the rod now measures 20.11 cm on the same ruler. What is the coefficient of linear expansion for the material of which the rod is made? A vertical glass tube of length L = 1.2800 000 m is half filled with a liquid at 20,000 000 degree C. How much will the height of the liquid column change when the tube and liquid are heated to 30.000 000 degree C? Use coefficients alpha glass = 1.000 000 x 10-5/K and beta liquid = 4.000 000 x 10-5/K. In a certain experiment, a small

Explanation / Answer

Now, the new length of steel ruler= 20.05(1+12*10^-6*230)

=20.555658 cm

thus when it measures 20.11 cm its actual elongation is

20.11-20.555658

thus

0.44658 cm

change in lentgh for rod= 20.05*alpha*230

thus aplha for rod=9.68*10^-5 m per degree Centigrade

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