Question

(a) of the diameter of a copper sphere is 2.540 cm at 20.00'C, what will its diameter be at a temperature of 108.0"C? The coefficient of linear expansion of copper is 17 x 10-rc. (Give your answer to at least three decimal places) 2.540 X Consider linear expansion along the radial directionem (6) For the volume of the sphere to increase by 1.120, to what temperature should the sphere be heated The content of volume expansion is 3 times that of linear expansion for the

Answer 1

diameter cor 2.540 cm , . 5haº iven expansion co-efficient of linear d. 17 x loc Change in temperature , ota 108.0°C - 28.0°C New diameter d = do(1+2oT) 2 2.54 x 15 ct 17x10x80 z o.oas4345 - 2.54345 am I by Let the i new ginen initial volume be vo volume ve Vo(1+30oT) v-Vot 1.120 Vo loo V 1. ovavo ve Vol 1+ 32oT) 1.0112 Vo z Vo (1+30 OTT OT = 0.0112 - 219-610C 3. Temperature 1. to which it is heated Initial tempelcture & 219.6loc = 280 ( 4 219.61°C z 247.61°C