A density of solid 13g/cm³ at a temperature of 25°c was now heated to a temperature of 150°c find the new density of the solid ? Given linear expansivity to be 2 × 10⁻⁵ ?

13.4225 g/cm³

Explanation:

Given that:

Linear expansivity α = 2 * 10^-5

Change in temperature dt = t2 - t1 = (150 - 25)°c = 125°c

Initial density (d1) = 13

New density d2 =?

Using the relation :

α = (d2 - d1) / d1 * dt

d2 - d1 = d1 * dt * α

d2 = d1 + d1*dt*α

d2 = d1(1 + d1*dt*α)

d2 = 13( 1 + (13*125*2*10^-5))

d2 = 13(1 + 0.0325)

d2 = 13(1.0325)

d2 = 13.4225

d2 = 13.4225 g/cm³

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