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Standard XII

Physics

Root Mean Square Speed

The K.E of ...

Question

The K.E of $N$ molecule of $O_{2}$ is $x j o u l e s$ at__ $123^{o} C$ . Another sample of $O_{2}$ at $327^{o} C$ has a K.E of $2 x$ joules. The latter sample contains:

N

molecules of

O_{2}

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2 N

molecules of

O_{2}

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N / 2

molecules of

O_{2}

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N / 4

molecules of

O_{2}

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Solution

The correct option is A $N$ molecules of $O_{2}$
Though the individual speeds are changing, the distribution of speeds remains constant at a particular temperature.
$K . E_{O_{2}} = \frac{\frac{3}{2} \times \frac{N}{32} \times R \times 150}{\frac{3}{2} \times \frac{N^{'}}{32} \times R \times 300}$
$= \frac{x}{2 x}$
$K . E_{O_{2}} = \frac{N \times 1}{N^{'} \times 2}$

$N = N^{'}$
conclusion: hence the option (A) is correct.

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The K.E of N molecule of O2 is xjoules at__ 123oC. Another sample of O2 at 327oC has a K.E of 2x joules. The latter sample contains:

The correct option is A N molecules of O2Though the individual speeds are changing, the distribution of speeds remains constant at a particular temperature.K.EO2=32×N32×R×15032×N′32×R×300 =x2x K.EO2=N×1N′×2 N=N′conclusion: hence the option (A) is correct.

The K.E of $N$ molecule of $O_{2}$ is $x j o u l e s$ at__ $123^{o} C$ . Another sample of $O_{2}$ at $327^{o} C$ has a K.E of $2 x$ joules. The latter sample contains: