The image above represents rate at which latent heat is evolved.

To compute for rate at which latent heat is evolved, three essential parameters are needed and these parameters are ** Density of Solidifying Metal (ρ’), Latent Heat of Fusion of Metal (H _{f}) **and

**Mass Flow Rate (dM/dt).**

The formula for calculating rate at which latent heat is evolved:

q_{x} = ρ’H_{f}(dM/dt)

Where:

q_{x} = Rate at Which Latent Heat is Evolved

ρ’ = Density of Solidifying Metal

H_{f} = Latent Heat of Fusion of Metal

dM/dt = Mass Flow Rate

Let’s solve an example;

Find the rate at which latent heat is evolved when the density of solidifying metal is 8, the latent heat of fusion of metal is 4 and the mass flow rate is 2.

This implies that;

ρ’ = Density of Solidifying Metal = 8

H_{f} = Latent Heat of Fusion of Metal = 4

dM/dt = Mass Flow Rate = 2

q_{x} = ρ’H_{f}(dM/dt)

q_{x} = (8)(4)(2)

q_{x} = 64

Therefore, the **rate at which latent heat is evolved **is **64.**

**Calculating the Density of Solidifying Metal when the Rate at which Latent Heat is Evolved, the Latent Heat of Fusion of Metal and the Mass Flow Rate is Given.**

ρ’ = ^{qx} / _{H}_{f} (dM/dt)

Where;

ρ’ = Density of Solidifying Metal

q_{x} = Rate at Which Latent Heat is Evolved

H_{f} = Latent Heat of Fusion of Metal

dM/dt = Mass Flow Rate

Let’s solve an example;

Find the density of solidifying metal when the rate at which latent heat is evolved is 25, the latent heat of fusion of metal is 5 and the mass flow rate is 3.

This implies that;

q_{x} = Rate at Which Latent Heat is Evolved = 25

H_{f} = Latent Heat of Fusion of Metal = 5

dM/dt = Mass Flow Rate = 3

ρ’ = ^{qx} / _{H}_{f} (dM/dt)

ρ’ = ^{25} / _{5 (3)}

ρ’ = ^{25} / _{15}

ρ’ = 1.67

Therefore, the **density of solidifying metal **is **1.67.**

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