What is the relationship between pipes and temperature?

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The discussion focuses on the relationship between pipes and temperature, specifically regarding the thermal expansion of a 10 km highway after passing pipes with hot water. Participants express confusion over the problem statement and seek clarification on the meaning of "after passing pipes with hot water." The relevant equation for calculating the change in length due to temperature is provided, emphasizing the need for assumptions about the linear expansion coefficient and temperature difference. One participant successfully solved the problem using reasonable assumptions. The conversation highlights the importance of clear problem statements in physics-related discussions.
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Homework Statement
By how much can a 10 km highway lengthen after passing pipes with hot water?
a) 100m; b) 50m; c) 25m; d) 10m.
Relevant Equations
ΔL = L x a x ΔT
ΔL = total change in the length of the pipe [mm]
L = original pipe length [m]
a = linear expansion coefficient
ΔT = difference in temperature [°C]
It seems for me that something is missing on the question. Actually, I do not know where to start.
 
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You have provided a relevant equation. What do you need to know to answer the question using it? If it is not given to you, make some reasonable assumptions and/or look up any values you need to know.
 
deynak said:
Problem Statement: By how much can a 10 km highway lengthen after passing pipes with hot water?
a) 100m; b) 50m; c) 25m; d) 10m.
Relevant Equations: ΔL = L x a x ΔT
ΔL = total change in the length of the pipe [mm]
L = original pipe length [m]
a = linear expansion coefficient
ΔT = difference in temperature [°C]

It seems for me that something is missing on the question. Actually, I do not know where to start.
Is this really the exact statement of the problem? What does "after passing pipes with hot water" even mean?
 
Solved it! I used some assumptions for linear expansion coefficient .
 
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