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Question

You have m kgs of a certain liquid in a vessel, which is heated till there is a temperature change of ΔT. If the coefficient of volume expansion is γ, what is the density of the liquid after heating, if the initial density was ρ?


  1. ρ = ρ (1 + γΔT)
  2. ρ = ρ (1  γΔT)

  3. ρ = ρ  γΔT)
  4. ρ = ρ  γΔT)


Solution

The correct option is B

ρ = ρ (1  γΔT)


We know that
m=ρV=Constantρ1V2=ρ2V2ρV=ρ1{V(1+γ×ΔT)}ρ1=ρ1+γΔTρ1=ρ(1γΔT)

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