Ideal gas equation

IMPORTANT

Ideal gas equation: Overview

This topic covers concepts such as ideal gas equation, universal gas constant, density and molar mass relation, Dalton's law of partial pressures of gases, and derivation of Dalton's law.

Important Questions on Ideal gas equation

EASY
IMPORTANT

A gaseous mixture was prepared by taking equal mole of   COand N 2 . If the total pressure of the mixture was found 1 atmosphere, the partial pressure of the nitrogen   ( N 2 ) in the mixture is:

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If 500ml of gas A at 400 torrs and 666.6 ml of B at 600 torrs are placed in a 3 liter flask, the pressure of the system will be

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If 500ml of gas A at 400 torr and 666.6 ml of B at 600 torr are placed in a 3 litre flask, the pressure of the system will be

MEDIUM
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Cyclopropane and oxygen at partial pressures 170 torr and 570 torr respectively are mixed in a gas cylinder. What is the ratio of the number of moles of cyclopropane to the number of moles of oxygen  (nC3H6nO2) (Assume no reaction).

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If P, V, M, T and R are pressure, volume, molar mass, temperature and gas constant respectively, then for an ideal gas, the density is given by

HARD
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The % composition by volume of Cl2 ,N2,H2 are in 1,2,7 by proportion the total pressure is 40 bar find the partial pressure of each gas

MEDIUM
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A gaseous mixture of 2 moles of A, 3 moles of B, 5 moles of C and 10 moles of D is contained in a vessel. Assuming that gases are ideal and the partial pressure of C is 1.5 atm, total pressure is

HARD
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The density of the gaseous mixture in a vessel (N2 and He) at 2.1 atmosphere and 310 K is 1.35 g/litre. If a small pin-hole is made on the wall of the vessel, through which gases effuse, then which of the following is the correct composition of the gases He and N2   effusing out initially?

MEDIUM
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Internal energy of n1 mol of hydrogen of temperature T is equal to the internal energy of n2 mol of helium at temperature 2T. The value of 10n1n2 is

HARD
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Calculate the number of hours (up to the nearest integer) of service that can be derived at 1 atm300 K from an acetylene lamp containing 640 g calcium carbide. Given that the lamp requires 50 L acetylene gas at 1 atm, 300 K for one hour. [Take 0.0821 × 300=25]

MEDIUM
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If 4 moles of an ideal gas at 300 K occupies volume of 89.6 L, then pressure of the gas will be _____atm.(write with four significant figures)

HARD
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Calculate the number of hours (up to nearest integer)  of service that can be derived at 1 atm, 300 K from an acetylene lamp containing 640 g calcium carbide. Given that the lamp requires 50 L acetylene gas at 1 atm 300 K for one hour. [Take 0.0821 × 300=25]

MEDIUM
IMPORTANT

Calculate the number of hours of service that can be derived at 1 atm, 300 K from an acetylene lamp containing 640 g calcium carbide. Given that the lamp requires 50 L acetylene gas at 1 atm 300 K for one hour. [Take 0.0821 × 300=25]

MEDIUM
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The pressure of a mixture of 'x' gram of oxygen gas and 1 mole of hydrogen gas contained in a vessel of 1 litre at 0°C is 25.215 atm. The value of 'x' is:

MEDIUM
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If XM, XP and XV are mole fraction, pressure fraction and volume fraction, respectively, of a gaseous mixture, then

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Which one of the following schematic graphs best represents the variation of p V (in Joules) versus $T$ (in Kelvin) of one mole of an ideal gas? (The dotted line represents p V=T )

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A container of volume 2.24 Lcan with stand a maximum pressure of 2 atm at 298 K before exploding. The maximum amount of nitrogen (in g) that can be safely put in this container at this temperature is closest to

MEDIUM
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A gaseous mixture containing 50 g of nitrogen and 10 g of oxygen were enclosed in a vessel of 10 L capacity at 27oC. Calculate the partial pressure of each gas.

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Density of a gas is found to be 5.46 g /dm3 at 300 K and 2 bar pressure. What will be its density at STP?

MEDIUM
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A large flask fitted with a stop-cock is evacuated and weighed; its mass is found to be 134.567 g. It is then filled to a pressure of 735 mm at 31oC  with a gas of unknown molecular mass and then reweighed; its mass is 137.456 g.

The flask is then filled with water and weighed again; its mass is now 1067.9 g. Assuming that the gas is ideal, calculate the molar mass of the gas.