A sliver bar 0.125 meter long is subjected to a temperature change from 200C to 100C.What will the length of the bar after the temperature change?
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A silver bar 0.125 meter long is subjected to a temperature change from 20C to 100C. What will be the lenght of the bar after the temperature change
To find the length of the silver bar after the temperature change, we need to consider the coefficient of linear expansion of silver. The coefficient of linear expansion is the amount by which a material expands or contracts for each degree of temperature change.
The formula for calculating the change in length due to temperature change is:
ΔL = L * α * ΔT
Where:
ΔL is the change in length of the bar
L is the original length of the bar
α is the coefficient of linear expansion of silver
ΔT is the change in temperature
Silver has a coefficient of linear expansion of approximately 0.000019 per degree Celsius. Let's substitute the values into the formula:
L = 0.125 meters (original length of the bar)
α = 0.000019 per degree Celsius (coefficient of linear expansion)
ΔT = 100°C - 20°C = 80°C (change in temperature)
ΔL = 0.125 * 0.000019 * 80
= 0.00019 meters
To find the final length of the bar after the temperature change, we can add the change in length to the original length:
Final length = Original length + ΔL
= 0.125 + 0.00019
= 0.12519 meters
Therefore, the length of the silver bar after the temperature change from 20°C to 100°C will be approximately 0.12519 meters.