Expanding Bar A bar made of a particular metallic alloy has a length of 10 cm at

Question

Expanding Bar A bar made of a particular metallic alloy has a length of 10 cm at a temperature of 22 degreeC and a length of 10.015 cm at the boiling point of water. 1) If a second bar made of the same material were 10 m at 22 degreeC, how much longer would this bar be at the boiling point of water? Delta L = cm Submit Help 2) calculate the thermal expansion coefficient of this material. a= 3) At what temperature would the first bar have a total Length of 10.03 cm? T = A bar made of a particular metallic alloy has a length of 10 cm at a temperature of 22 degreeC and a length of 10.015 cm at the boiling point of water. PLEASE SHOW ME HOW TO DO IT. THANK YOU!

Explanation / Answer

coefficient of thermal expansion = change in length / (length * change in temperature)

= 0.015 /[10*(100 - 22)] = 1.92 * 10^-5 m/degree celcius

length of 10m bar at 100 degree = 10 * (1 + 1.92*10^-5 * (100-22)) = 10.015 m

change in temperature for the first bar to have total length 10.03cm = 0.03 / (10 *1.92 * 10^(-5)) = 156.25 degree celcius

temperature for 10.03cm length = 22 + 156.25 = 178.25 degree celcius

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