The Length of the rod at the freezing point of water is 9.9625 cm
What is length?
Length can be defined as the measurement of the distance between two points. The S.I unit of length is meter (m)
To calculate the length of the rod at the freezing point of water, we use the formula below
Formula:
- (L₃-L₁)/L₁(t₃-t₁) = (L₂-L₁)/L₁(t₂-t₁)................ Equation 1
Where:
- L₁ = length of the aluminum alloy rod at 20 °C
- L₂ = Length of the aluminum alloy rod at boiling point.
- L₃ = Length of the aluminum alloy rod at freezing point.
- t₁ = Initial temperature of the aluminum alloy rod
- t₂ = Temperature of the aluminum alloy rod at the boiling point of water.
- t₃ = Temperature of the aluminum alloy rod at the freezing point of water.
From the question,
Given:
- L₁ = 10 cm
- L₂ = 10.015 cm
- t₁ = 20 °C
- t₂ = 100 °C (boiling point of water)
- t₃ = 0 °C ( Freezing point of water)
- L₃ = ?
Substitute these values into equation 1
- (L₃-10)/[10(0-20)] = (10.015-10)/[10(100-20)]
Solve for L₃
- (L₃-10)/(-200) = 0.015/80
- L₃-10 = (-200)(0.015/80)
- L₃-10 = -0.0375
- L₃ = 10-0.0375
- L₃ = 9.9625 cm.
Hence, The Length of the rod at the freezing point of water is 9.9625 cm.
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