the plumbing in an old house uses lead pipes (which are now considered hazardous). Hot water is run through a section of pipe, increasing its temperature from 19.4 C to 36.8 C. if the pepe is intially 3.90m in length, what is the change in the length of the pipe?
2.1m
wrong
To calculate the change in length of the pipe due to the increase in temperature, you need to know the coefficient of linear expansion (α) for lead.
The formula for calculating the change in length (ΔL) is given by:
ΔL = α * L * ΔT
Where:
ΔL = change in length
α = coefficient of linear expansion
L = initial length of the pipe
ΔT = change in temperature
Since the coefficient of linear expansion for lead is not provided, we can assume it to be approximately 0.000029 (1/°C). Please note that this value may vary slightly depending on the specific composition of the lead used.
Using the given values:
L = 3.90 m (initial length)
ΔT = (36.8 °C) - (19.4 °C) = 17.4 °C (change in temperature)
α = 0.000029 (coefficient of linear expansion for lead)
Now we can substitute the values into the formula to calculate the change in length:
ΔL = 0.000029 * 3.90 * 17.4
Calculating this gives us:
ΔL ≈ 0.0019338 meters
Therefore, the change in length of the pipe due to the temperature increase is approximately 0.0019338 meters.
To find the change in length of the lead pipe, we need to use the coefficient of linear expansion for lead and the formula:
ΔL = α * L * ΔT
Where:
ΔL is the change in length
α is the coefficient of linear expansion
L is the initial length of the pipe
ΔT is the change in temperature
Given the temperature change (ΔT) from 19.4°C to 36.8°C, we need to calculate the change in length (ΔL).
The coefficient of linear expansion for lead is approximately 0.000029 per degree Celsius. We can plug in the values into the formula:
ΔL = 0.000029 * 3.90m * (36.8°C - 19.4°C)
Calculating the value inside the parentheses:
ΔL = 0.000029 * 3.90m * 17.4°C
Now, multiplying the values:
ΔL ≈ 0.00001443m
Therefore, the change in the length of the lead pipe is approximately 0.00001443 meters.