(A) The ideal gas law is given by $PV = nRT$. For a fixed amount of gas ($n$ is constant) and a fixed volume ($V = 1 \, cm^3$ in both cases),the relat

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(A) The ideal gas law is given by $PV = nRT$. For a fixed amount of gas ($n$ is constant) and a fixed volume ($V = 1 \, cm^3$ in both cases),the relationship between pressure and temperature is $P \propto T$. Let the initial pressure at sea level be $P_0$ and the initial temperature be $T_0$. At the given height,the pressure is $P = P_0/3$. Using the relation $\frac{P_0}{T_0} = \frac{P}{T}$,we substitute $P = P_0/3$: $\frac{P_0}{T_0} = \frac{P_0/3}{T}$. Solving for $T$,we get $T = T_0/3$.

Class 11 Physics Kinetic Theory of Gases Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

Easy

Consider a $1 \, cm^3$ sample of air at absolute temperature $T_0$ at sea level and another $1 \, cm^3$ sample of air at a height where the pressure is one-third atmosphere. The absolute temperature $T$ of the sample at that height is

A
Equal to $T_0/3$
B
Equal to $3/T_0$
C
Equal to $T_0$
D
Cannot be determined in terms of $T_0$ from the above data

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Class 11

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Kinetic Theory of Gases

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Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

The tyre of a motor car contains air at $15^{\circ} C$. If the temperature increases to $35^{\circ} C$, the approximate percentage increase in pressure is (ignore the expansion of the tyre).

DifficultAP EAMCET 2005

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The equation of state for $5 \ g$ of oxygen gas at pressure $P$,volume $V$,and temperature $T$ is given by:

Medium

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$A$ container $A$ contains a gas at pressure $P$,volume $V$,and temperature $T$. Another container $B$ contains a gas at pressure $2P$,volume $V/4$,and temperature $2T$. The ratio of the number of molecules in container $A$ to that in container $B$ is:

Medium

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State Boyle's Law and Charles's Law.

Medium

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What is the number of oxygen molecules in a cylinder of volume $1 \ m^3$ at $27^{\circ}C$ and $13.8 \ Pa$? (Boltzmann constant $k = 1.38 \times 10^{-23} \ JK^{-1}$)

Easy

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Consider a $1 \, cm^3$ sample of air at absolute temperature $T_0$ at sea level and another $1 \, cm^3$ sample of air at a height where the pressure is one-third atmosphere. The absolute temperature $T$ of the sample at that height is

Similar Questions

The tyre of a motor car contains air at $15^{\circ} C$. If the temperature increases to $35^{\circ} C$, the approximate percentage increase in pressure is (ignore the expansion of the tyre).

The equation of state for $5 \ g$ of oxygen gas at pressure $P$,volume $V$,and temperature $T$ is given by:

$A$ container $A$ contains a gas at pressure $P$,volume $V$,and temperature $T$. Another container $B$ contains a gas at pressure $2P$,volume $V/4$,and temperature $2T$. The ratio of the number of molecules in container $A$ to that in container $B$ is:

State Boyle's Law and Charles's Law.

What is the number of oxygen molecules in a cylinder of volume $1 \ m^3$ at $27^{\circ}C$ and $13.8 \ Pa$? (Boltzmann constant $k = 1.38 \times 10^{-23} \ JK^{-1}$)

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