We can use the coefficient of volume expansion to find the change in temperature. The coefficient of volume expansion for brass is typically given as 2.0 x 10^-5 /°C.
Let's call the initial volume of the brass V1 and the final volume V2. We know that V2 is 0.6% greater than V1:
V2 = V1 + 0.006V1 = 1.006V1
Now let's use the formula for the change in volume of a material due to a change in temperature:
ΔV = βV1ΔT
where β is the coefficient of volume expansion and ΔT is the change in temperature.
We can rearrange this equation to solve for ΔT:
ΔT = ΔV / (βV1)
Plugging in the values we know:
ΔT = (1.006V1 - V1) / (2.0 x 10^-5 /°C x V1) = 3.0 x 10^2 °C
Therefore, the vessel was heated by 300°C.
The volume of a brass increase as a result of heat by 0.6%. By how many degrees was the vessel heated.
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