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rms speed at a new temperature (rms speed proportional to the square root of T)

This type of question, asked 6 times: 9 May 2023 S1, 9 May 2024 S2, 11 May 2024 S2, 14 May 2024 S1, 21 Apr 2025 S2, 25 Apr 2025 S1. All 7 questions 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

    9 May 2024 S2

    43
    The temperature of an ideal gas is increased from 27∘27^\circC to 927∘927^\circC. The r.m.s. speed of its molecules becomes

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  3. Question 3

    11 May 2024 S2

    42
    If temperature of a molecules is raised from 127∘C127^{\circ}\text{C} to 527∘C527^{\circ}\text{C}, the ratio of r.m.s. speed of the molecules is respectively:

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  4. Question 4

    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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  5. Question 5

    21 Apr 2025 S2

    25
    The r.m.s. speed of gas molecules at 800 K will be

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  6. Question 6

    21 Apr 2025 S2

    43
    The temperature of an ideal gas is increased from 100 K to 400 K . If ' xx ' is the R.M.S. velocity of its molecules at 100 K , it becomes

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  7. Question 7

    25 Apr 2025 S1

    15
    The temperature of an ideal gas is increased from 100 K to 400 K . If ' xx ' is the root mean square velocity of its molecules at 100 K , r.m.s. velocity becomes

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