A few materials contract when heated, such as water between 0 ∘ C and 4 ∘ C. Would you expect C p for such a material to be greater or less than C v ?

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PhysicsHeat & ThermoThermodynamics Laws & Specific Heats of GasesMedium2 minQB

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A few materials contract when heated, such as water between $0^{\circ}$ C and $4^{\circ}$ C. Would you expect $C_{p}$ for such a material to be greater or less than $C_{v}$ ?

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Answer:

Solution:

$C_{p} - C_{v} = \frac{T V β ^{2}}{κ _{T}}$ depends on $β^{2}$ , so it is positive even when $β < 0$ . $C_{p}$ is greater than $C_{v}$ (equal only at 4°C where $β = 0$ ). A.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermodynamics Laws & Specific Heats of Gases

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