Question

When the temperature of a copper coin is raised by 130 C°, its diameter increases by 0.22%. To two significant figures, give the percent increase in (a) the area of a face, (b) the thickness, (c) the volume, and (d) the mass of the coin. (e) Calculate the coefficient of linear expansion of the coin.

Answer 1

change in temperature, AT = 130°c If Diameter is, is, D then, G D D 0,22 100 ү D 2 Area, A = 7.82 on (2) ² SA T. 2x IDAD 42 ( klar DSD 4А DID V 2 K.D2 y 2. D SA 12 2 X 0.22 Xion 100) (a) A 0.44 ) b) Thicknes, a w 1 so 1) D 0.22 100 Ow 2) = 0.227, © gar3 - 422 3 AV a 28.3D²OD Syiah KN Kind AD DV K Drop x 3x 8 2 Kх р3 쁩 3 D 3x0.22 0.667.

of the (0) Mass coin does not change. le) know, 22OT D d=wefficient of linear expansion da so D IT 0:22 loo Х 130 x =1169 x 10-5 4 - 1 C