(A) The number of moles of gas remains constant in both states. According to the ideal gas law,$\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$.Given at se

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(A) The number of moles of gas remains constant in both states. According to the ideal gas law,$\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$.Given at sea level:$P_1 = 1 \, atm$$V_1 = 30,000 \, cc = 30 \, L$$T_1 = 27^{\circ}C = 27 + 273 = 300 \, K$Given at Mount Everest site:$V_2 = 5.2 \, L$$T_2 = -73^{\circ}C = -73 + 273 = 200 \, K$$P_2 = ?$Substituting the values into the equation:$\frac{1 \times 30}{300} = \frac{P_2 \times 5.2}{200}$$0.1 = \frac{P_2 \times 5.2}{200}$$P_2 = \frac{0.1 \times 200}{5.2} = \frac{20}{5.2} \approx 3.846 \, atm \approx 3.86 \, atm$.

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

Medium

The air density at Mount Everest is less than that at the sea level. It is found by mountaineers that for one trip lasting a few hours,the extra oxygen needed by them corresponds to $30,000 \, cc$ at sea level (pressure $1 \, atm$,temperature $27^{\circ}C$). Assuming that the temperature around Mount Everest is $-73^{\circ}C$ and that the oxygen cylinder has a capacity of $5.2 \, L$,the pressure at which $O_2$ must be filled (at site) in the cylinder is .... $atm$.

A
$3.86$
B
$5.00$
C
$5.77$
D
$1$

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Class 11

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Chapter

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

What is the universal gas constant? Write its value and unit.

Easy

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For $H_2, O_2$,and $He$ gases at the same temperature and pressure,the volumes are equal. Which of the following has the highest number of atoms?

Easy

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At the same temperature,pressure,and volume of two gases,which of the following quantities is constant?

Easy

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Two identical glass bulbs are interconnected by a thin glass tube. Initially,both bulbs are at $0^{\circ}C$. $A$ gas is filled in these bulbs. When one bulb is placed in ice $(0^{\circ}C)$ and the other bulb is placed in a hot bath,the pressure of the gas becomes $1.5$ times the initial pressure. The temperature of the hot bath will be ...... $^{\circ}C$.

Difficult

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If the volume of a given mass of a gas is increased four times,and the temperature is raised from $27^{\circ}C$ to $127^{\circ}C$,what happens to its elasticity?

Medium

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What is the universal gas constant? Write its value and unit.

For $H_2, O_2$,and $He$ gases at the same temperature and pressure,the volumes are equal. Which of the following has the highest number of atoms?

At the same temperature,pressure,and volume of two gases,which of the following quantities is constant?

If the volume of a given mass of a gas is increased four times,and the temperature is raised from $27^{\circ}C$ to $127^{\circ}C$,what happens to its elasticity?

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