Question

An aluminum cup of 140 cm³ capacity is completely filled with glycerin at 21°C. How much glycerin will spill out of the cup if the temperature of both the cup and glycerin is increased to 38°C? (The linear expansion coefficient of aluminum is 23 × 10^-6 1/C°. The coefficient of volume expansion of glycerin is 5.1 × 10^-4 1/C°.)

Answer 1

= 21°c Initial volume of the alumininum cup, vo= 140 cm² Initial volume of the glycerin, vo= 140 cms. Initial temperatine, oi Anal temperature, of - 38°c. linear expansiar coefficient of AC, X=(23x108) /-e to efferent frolume expaission of Al Al 3 x = (6.9x105)/°C. co efficient of wlane expansion of glycerin, Pg= (5.1X104) loe. final volume of the ovo Voto 20 Vo(1+8694-61)) 140[1-45. 1x104) 2031 14122138 cm3 Final volume of the Voto 8 40 41 TAL volto (961)] AL Cup, 10 =140[1+€9*16*)(x-2) =140-1642 cm3 Nolume of the glycerin that will spill out of the cup Av. V YAN141.2138 - 140.1642)cm? 1.0496 cm3 Ans)