A glass container has an original volume of 1m3 and a final volume of 1.002 m3 when its temperature is increased. If the change in temperature is 30 degrees Celsius, what is the coefficient of volume expansion for the glass?
Question
A glass container has an original volume of 1m3 and a final volume of 1.002 m3 when its temperature is increased. If the change in temperature is 30 degrees Celsius, what is the coefficient of volume expansion for the glass?
Solution
The coefficient of volume expansion (β) can be calculated using the formula:
β = ΔV / (V0 * ΔT)
where:
- ΔV is the change in volume,
- V0 is the original volume, and
- ΔT is the change in temperature.
In this case, the change in volume (ΔV) is the final volume minus the original volume, which is 1.002 m3 - 1 m3 = 0.002 m3.
The original volume (V0) is 1 m3.
The change in temperature (ΔT) is 30 degrees Celsius.
Substituting these values into the formula gives:
β = 0.002 m3 / (1 m3 * 30 °C) = 0.000067 °C^-1
So, the coefficient of volume expansion for the glass is 0.000067 °C^-1.
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