A 5 liter glass vessel is filled to its brim with water. The coefficient of cubical expansion of water is 1.3 × 1 0 − 4 / ∘ C and coefficient of volume expansion of glass is 80 × 1 0 − 6 / ∘ C . The temperature is increased by 2 0 ∘ C . How much water would overflow?

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PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

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A $5 liter$ glass vessel is filled to its brim with water. The coefficient of cubical expansion of water is $1.3 \times 1 0^{- 4} /^{\circ} C$ and coefficient of volume expansion of glass is $80 \times 1 0^{- 6} /^{\circ} C$ . The temperature is increased by $2 0^{\circ} C$ . How much water would overflow?

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Answer:

Solution:

Overflow is the difference of the expansion of water and of the vessel:
$Δ V = V_{0} (γ_{L} - γ_{g}) Δ T$
$Δ V = 5 \times 1 0^{3} \times (130 - 80) \times 1 0^{- 6} \times 20 cc$
$Δ V = 5 cc$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: QB

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