A lead ball has a volume of 94.3 cm3 at 19.3°C. What is the change in volume when its temperature changes to 34.3°C?

To find the change in volume when the temperature changes, we can use the thermal expansion coefficient. The thermal expansion coefficient (α) is a property of a material that quantifies how much it expands or contracts with a change in temperature.

To calculate the change in volume (ΔV), we can use the formula:

ΔV = V * α * ΔT

Where:
ΔV is the change in volume.
V is the initial volume.
α is the thermal expansion coefficient.
ΔT is the change in temperature.

In this case, we have the initial volume of the lead ball as 94.3 cm3 at 19.3°C, and the final temperature is 34.3°C. We need to determine the change in volume.

However, we need one more piece of information: the thermal expansion coefficient for lead. The thermal expansion coefficient can vary depending on the material. For lead, the average thermal expansion coefficient is approximately 0.000029 (1/°C).

Plugging the values into the formula, we can calculate the change in volume:

ΔV = 94.3 cm3 * 0.000029 (1/°C) * (34.3°C - 19.3°C)

Simplifying the expression:

ΔV = 94.3 cm3 * 0.000029 (1/°C) * 15°C

Calculating the result:

ΔV ≈ 0.0409 cm3

Therefore, the change in volume when the temperature of the lead ball changes from 19.3°C to 34.3°C is approximately 0.0409 cm3.