20.00 cm of space is available. How long a piece of brass at 20°C can be put there and still fit at 200°C? Brass has a linear expansion coefficient of 19 × 10^-6/C°.

Question

20.00 cm of space is available. How long a piece of brass at 20°C can be put there and still fit at 200°C? Brass has a linear expansion coefficient of 19 × 10^-6/C°.
		
19.93 cm
		
19.69 cm
		
19.50 cm
		
19.09 cm

bobpursley · Answer

deltaL=L*coeff*delta temp deltaL=L 19E-6 * 180 deltaL/L=19E-6 * 180 Now, L+deltaL=20.00 cm deltaL/L +1=20.00/L 19E-6 * 180+1=20.00/L L=20.00/(19E-6 * 180+1) and that answer is above.