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Ratio of the numbers of molecules in two jars from their pressure, volume and temperature

The same question, asked 4 times: 9 May 2024 S1*, 10 May 2024 S2*, 23 Apr 2025 S1*, 20 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    9 May 2024 S1

    20
    A jar 'P' is filled with gas having pressure, volume and temperature P,V,TP, V, T respectively. Another gas jar Q filled with a gas having pressure 2P2P, volume V4\frac{V}{4} and temperature 2T2T. The ratio of the number of molecules in jar P to those in jar Q is

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  2. Question 2

    10 May 2024 S2

    18
    We have jar A filled with gas characterized by parameters P,V,TP,V,T and another jar B filled with gas having parameters P,V4,2TP,\frac{V}{4},2T, where symbols have their usual meaning. The ratio of number of molecules in jar A to those in jar B is

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  3. Question 3

    23 Apr 2025 S1

    38
    The pressure 'PP', volume 'VV' and temperature 'TT' of a gas in a jar 'AA' and the gas in other jar 'BB' is at pressure '2P2P', volume V4\frac{V}{4} ' and temperature  ′T′4\frac{\ ^{'}T^{'}}{4}. Then the ratio of the number of molecules in jar A and jar B will be

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  4. Question 4

    20 Apr 2026 S1

    116
    Gas at pressure P, temperature T, and volume V is filled in jar A. Another jar B is filled with gas having parameters 2P2P, V4\dfrac{V}{4}, 2T2T. The ratio of number of molecules of jar B to those of jar A is

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