A glass flask of volume one litre at 0 ° C is filled level full of mercury at this temperature. The flask and mercury are now heated to 100 ° C . How much mercury will spill out if the coefficient of volume expansion of mercury is 1.82 × 10 - 4 ° C - 1 and linear expansion of glass is 0 .1 × 10 - 4 ° C - 1 , respectively?

Question

A glass flask of volume one litre at 0 ° C is filled level full of mercury at this temperature. The flask and mercury are now heated to 100 ° C . How much mercury will spill out if the coefficient of volume expansion of mercury is 1.82 × 10 - 4 ° C - 1 and linear expansion of glass is 0 .1 × 10 - 4 ° C - 1 , respectively?, 2.48 × 10 - 2 L, 1.52 × 10 - 2 L, 1.53 × 10 4 L, 1.52 × 10 - 4 L

MARKS App · Accepted Answer

Expansion of mercury ∆ V m = V m γ m ∆ θ =1 × 1.82 × 10 - 4 100 ° - 0 ° = 1.82 × 10 - 2 L Expansion of flask, ∆ V g =​ V γ g ∆ θ = V ⋅ 3 α g ∆ θ =​ 1 × 3 × 0.1 × 10 - 4 100 o - 0 o = ​0.3 × 10 - 2 L Volume of mercury that over flows = ∆ V m - ∆ V g = 1.82 - 0.3 × 10 - 2 = 1.52 × 10 - 2 L

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