Question

an aluminum bar is 2 m long at temperature of 20 degrees C what was the length of the bar be at temperature hundred degrees Celsius​

Answer 1

The length of the aluminum bar at a temperature of 100 degrees Celsius would be approximately 2.0009 meters.

Step-by-step explanation:

The length of a metal bar can change with temperature due to thermal expansion. The relationship between the change in length and the change in temperature is described by the thermal expansion coefficient of the metal. In this case, we are given an aluminum bar that is 2 m long at a temperature of 20 degrees Celsius. To find the length of the bar at a temperature of 100 degrees Celsius, we can use the formula:

Lfinal = Linitial * (1 + α * ΔT)

Where Lfinal is the final length, Linitial is the initial length, α is the thermal expansion coefficient, and ΔT is the change in temperature. The thermal expansion coefficient for aluminum is approximately 0.0000225 per degree Celsius. Plugging in the given values:

Lfinal = 2 * (1 + 0.0000225 * (100 - 20))

Lfinal ≈ 2.0009 mSPJ11

Answer 2

L=2.003696

Step-by-step explanation:

The question is on expansion due to heat

The general formulae is;

L= L₀ { 1+∝(T₂-T₁)}

where L₀ is initial length of bar at 20°, L is length of bar at asked temperatures, ∝ = 23.1× 10^-6 °c , T₂ is the final temperature, T₁ is the initial temperature in °c

Given;

L₀=2m

T₂=100°c

T₁=20°c

∝ = 23.1× 10^-6 °c

Substitute values in the equation

L= L₀ { 1+∝(T₂-T₁)}

L=2{1+23.1× 10^-6(100-20)}

L=2{1.001848}

L=2.003696