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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
States of Matter

NTA Abhyas 2020 · Chemistry · States of Matter

An open vessel at 27 ^ o C is heated until 3/8 ^ th of the air in...

An open vessel at 27oC{27}^{o}\text{C} is heated until 3/8th{3/8}^{\text{th}} of the air in it has been expelled. Assuming that the volume remains constant, calculate the temperature at which the vessel was heated

Options

  1. A{\text{307}^{o} \text{C}
  2. B{\text{107}^{o} \text{C}
  3. C{\text{480}^{o} \text{C}
  4. D{\text{207}^{o} \text{C}

Correct answer

D. {\text{207}^{o} \text{C}

Step-by-step solution

If 3th8\dfrac{{3}^{th}}{8} of the air is expelled out then remaining air =58= \dfrac{5}{8}

In the open vessel volume and pressure are both constant but moles are decreasing

∴ {\text{n}_{1} {T}_{1} \text{=}{n}_{2} {T}_{2}

∴ {\text{n}_{1} \text{\times}\text{300}\text{=}\left(\dfrac{5}{8} {n}_{1}\right){T}_{2}

∴T2=85\timesT1=85\times300=480K∴ {T}_{2} \text{=}\dfrac{8}{5} \text{\times}{T}_{1} \text{=}\dfrac{8}{5} \text{\times}\text{300}\text{=}\text{480}\text{K}

= 480 - 273 = {\text{207}^{o} \text{C}
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