Question

A strip of lead metal initially with a length of 35cm is heated so that its temperature changes by 80°c. Find the change in length of the lead and its new length at the new temperature.​

Answer 1

The new length at the new temperature is approximately 35.0812cm.

Step-by-step explanation:

Let's use the coefficient of linear expansion of lead, which is approximately 0.000029 per degree Celsius.

The change in length can be calculated using the formula:

ΔL = αLΔT

where:

ΔL = change in length

α = coefficient of linear expansion

L = initial length

ΔT = change in temperature

In this case, ΔT = 80°C, L = 35cm and α = 0.000029/°C.

ΔL = (0.000029/°C) x (35cm) x (80°C)

ΔL = 0.0812 cm

Therefore, the change in length is 0.0812 cm.

To find the new length, we add the change in length to the original length:

New length = 35cm + 0.0812cm

New length = 35.0812cm

So