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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Thermal Properties of Matter

NTA Abhyas 2020 · Physics · Thermal Properties of Matter

A 1 L glass flask contains some mercury. It is found that at...

A 1 L\text{1 L} glass flask contains some mercury. It is found that at different temperatures the volume of air inside the flask remains the same. What is the volume of mercury in this flask if coefficient of linear expansion of glass is \text{9} \times {\text{10}^{- 6} / \text{C} ∘ while of volume expansion of mercury is \text{1}\text{.8} \times {\text{10}^{- 4} / \text{C} \text{o}?

Options

  1. A50 cc\text{50 cc}
  2. B100 cc\text{100 cc}
  3. C150 cc\text{150 cc}
  4. D200 cc\text{200 cc}

Correct answer

C. 150 cc\text{150 cc}

Step-by-step solution

It is given that the volume of air in the flask remains the same. This means that the expansion in the volume of the vessel is exactly equal to the volume expansion of mercury.

i.e., ΔVG=ΔVL\Delta {V}_{G} = \Delta {V}_{L}

or VGγGΔθ=VLγLΔθ{V}_{G} {γ}_{G} \Delta \theta = {V}_{L} {γ}_{L} \Delta \theta

∴VL=VGγGγL=1000×(3×9×10−6)1.8×10−4=150cc∴ {V}_{L} = \dfrac{{V}_{G} {γ}_{G}}{{γ}_{L}} = \dfrac{1 0 0 0 \times \left(3 \times 9 \times 1 {0}^{- 6}\right)}{\text{1.8} \times 1 {0}^{- 4}} = 1 5 0 cc
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