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22 ~g of carbon dioxide at 27^ C is mixed in closed container with 16 ~g of oxygen at 37^ C . If both gases are considered as ideal gases, then the temperature of the mixture is nearly

Options

  1. A22.2^ C
  2. B33.5^ C
  3. C31.5^ C
  4. D28.5^ C

Correct answer

C. 31.5^ C

Step-by-step solution

Let T^ C be the temperature of the mixture. heat given by O ₂= heat absorbed by CO ₂ aligned & ₁ C_ V₁ T= ₂ C_ V₂ T & 22 44 (3 R)(T-27)= 16 32 ( 5 2 R )(37-T) & 3(T-27)= 5 2 (37-T) & 6 T-162=185-5 T & 11 T=347 & T=31.5 C aligned

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