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TS EAMCET · Chemistry · States of Matter

What is the temperature at which the kinetic energy of 0.3 moles of helium is equal to the kinetic energy of 0.4 moles of argon at \(400 \mathrm{~K}\) ?

  1. A \(400 \mathrm{~K}\)
  2. B \(873 \mathrm{~K}\)
  3. C \(533 \mathrm{~K}\)
  4. D \(300 \mathrm{~K}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(533 \mathrm{~K}\)

Step-by-step Solution

Detailed explanation

Number of moles of helium \(=0.3\) Number of moles of argon \(=0.4\) We know that \(\mathrm{KE}=n R T\) \(\mathrm{KE}\) of helium \(=0.3 \times R \times T\) \(\mathrm{KE}\) of argon \(=0.4 \times R \times 400\) According to question \(\mathrm{KE}\) of helium \(=\mathrm{KE}\) of…