Which of the following graphs represent the behavior of an ideal gas ? Symbols have their usual meaning.
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From the ideal gas equation,
Therefore, v/s T graph is straight line.
A gas in a container is in thermal equilibrium with antoher gas of the same mass in container . If we denote the corresponding pressures and volumes by the suffixes and , then which of the following statement is most likely to be true?
Apply Boyle's law, at constant temperature
A vessel contains of hydrogen and of oxygen at standard temperature and pressure. The volume of the vessel in is :
Number of moles
At STP, 1 moles occupy
So, 12 moles occupy
i.e.
A vessel has of hydrogen at pressure and temperature . A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is and temperature falls to ?
Initially,
Finally, (if gas leaks out)
Hence, gram
A mixture of hydrogen and oxygen has volume , temperature , pressure and mass . The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be :
By ideal gas equation
So,
as,
Substracting (i) from (ii), we get
Therefore,
A balloon contains of helium at and 4 atmospheric pressure. The volume of helium at temperature and 2 atmospheric pressure will,
A perfect gas at is heated at constant pressure so as to double its volume. The final temperature of the gas will be, close to
Given,
From charle's law
or,
A mixture of hydrogen and oxygen has volume , temperature , pressure and mass . The ratio of masses of oxygen to hydrogen will be :-
Ratio of volume occupied by a gas of mass at two different pressure and if temperature remains constant is
Boyle's Law states for constant .
respectively denote pressure, volume and temperature of two gases. On mixing, new temperature and volume are respectively and . Final pressure of the mixture is
zero
Let and be the number of moles of each gas. Then and .
When the two gases are mixed, total number of moles,
(where is the pressure of the mixture.)
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