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Heat needed to double the rms speed of the molecules of a nitrogen sample

This type of question, asked 2 times: 14 Jun 2022, 28 Jul 2022. All 2 questions below, oldest first.

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  1. Question 1

    14 Jun 2022

    21
     0.056 kg\ 0.056\text{ }kg of Nitrogen is enclosed in a vessel at a temperature of 127∘C127^{\circ}C. The amount of heat required to double the speed of its molecules is _____ kcal. (Take R=2R = 2 cal mole  −1 K−1\ ^{- 1}{\text{ }K}^{- 1} )
  2. Question 2

    28 Jul 2022

    98
    A vessel contains 14 g14\text{ }g of nitrogen gas at a temperature of 27∘C27^{\circ}C. The amount of heat to be transferred to the gas to double the r.m.s. speed of its molecules will be : (Take R=8.32 J mol−1K−1R = 8.32\text{ }J{\text{ }mol}^{- 1}K^{- 1})

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