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Temperature to which a gas must be heated to double the rms speed of its molecules

The same question, asked 2 times: 9 May 2023 S1*, 14 May 2024 S1. Every wording below, oldest first.

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  1. Question 1

    9 May 2023 S1

    46
    The temperature of a gas is −80∘C-80^\circ\text{C}. To what temperature the gas should be heated so that the r.m.s. speed is increased by 2 times?

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  2. Question 2

    14 May 2024 S1

    3
    The temperature of a gas is −68∘C-68^\circ\text{C}. To what temperature should it be heated, so that the r.m.s. velocity of the molecules be doubled?

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