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Standard IX

Physics

Factors Affecting Pressure

Consider a 1 ...

Question

Consider a 1 c.c. sample of air at absolute temperature $T_{0}$ at sea level and another 1 c.c. sample of air at a height where the pressure is one-third atmosphere. The absolute temperature T of the sample at the height is:

equal to

T_{0} / 3

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equal to

3 / T_{0}

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equal to

T_{0}

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cannot be determined in terms of

T_{0}

from the above data

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Solution

The correct option is D cannot be determined in terms of $T_{0}$ from the above data

Let the initial pressure be $P_{0}$

Let the initial temperature be $T_{0}$

It is given that final pressure $P_{1} = \frac{P_{0}}{3}$

So we know the relation $P \propto T$

Hence $\frac{P_{0}}{T_{0}} = \frac{P_{0}}{3 T}$

$T = \frac{T_{0}}{3}$

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Consider a 1 c.c. sample of air at absolute temperature T0 at sea level and another 1 c.c. sample of air at a height where the pressure is one-third atmosphere. The absolute temperature T of the sample at the height is:

The correct option is D cannot be determined in terms of T0 from the above data Let the initial pressure be P0 Let the initial temperature be T0 It is given that final pressureP1=P03 So we know the relationP∝T Hence P0T0=P03T T=T03

Consider a 1 c.c. sample of air at absolute temperature $T_{0}$ at sea level and another 1 c.c. sample of air at a height where the pressure is one-third atmosphere. The absolute temperature T of the sample at the height is: