A piece of brass of mass 170kg has its temperature raised 0¤c to 30¤c.caculate its increase in volume,given the density of brass at 0¤c as 8.5*103kgm-3 and its eubic expansivity as 57*10-5 k-1
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Solve this and shoi working pls
Solve this and show
working pls
Density =mass / volume
To calculate the increase in volume of the brass, we need to use the formula for volumetric expansion:
ΔV = V₀ * β * ΔT
Where:
- ΔV is the change in volume
- V₀ is the initial volume
- β is the coefficient of volume expansion
- ΔT is the change in temperature
First, let's calculate the initial volume of the brass using the density information:
V₀ = m / ρ₀
Where:
- V₀ is the initial volume
- m is the mass of the brass
- ρ₀ is the density of brass at 0°C
Given:
m = 170 kg
ρ₀ = 8.5 * 10³ kg/m³
V₀ = 170 kg / (8.5 * 10³ kg/m³)
V₀ = 0.02 m³
Now, let's calculate the change in volume by substituting the given values into the formula:
ΔV = V₀ * β * ΔT
Given:
β = 57 * 10⁻⁵ K⁻¹
ΔT = 30°C - 0°C = 30 K
ΔV = 0.02 m³ * 57 * 10⁻⁵ K⁻¹ * 30 K
ΔV ≈ 0.0342 m³
Therefore, the increase in volume of the brass is approximately 0.0342 m³.