Advertisements
Advertisements
Question
At 0°C, the density of a certain oxide of a gas at 2 bar is same as that of dinitrogen at 5 bar. What is the molecular mass of the oxide?
Solution
Density (d) of the substance at temperature (T) can be given by the expression,
`d = "Mp"/"RT"`
Now, density of oxide (d1) is given by,
`"d"_1 = ("M"_1"p"_1)/"RT"`
Where, M1 and p1 are the mass and pressure of the oxide respectively.
Density of dinitrogen gas (d2) is given by,
`"d"_2 = ("M"_2"p"_2)/"RT"`
Where, M2 and p2 are the mass and pressure of the oxide respectively.
According to the given question,
`"d"_1 = "d"_2`
`therefore "M"_1"p"_1 = "M"_2"p"_2`
Given
`"p"_1 = "2 bar"`
`"p"_2 = "5 bar"`
Molecular mass of nitrogen, M2 = 28 g/mol
Now `"M"_1 = ("M"_2"p"_2)/"p"_1`
= (28xx5)/2`
= 70 g/mol
Hence, the molecular mass of the oxide is 70 g/mol.
APPEARS IN
RELATED QUESTIONS
If 10 volumes of dihydrogen gas reacts with five volumes of dioxygen gas, how many volumes of water vapour would be produced?
The pressure of 1 g of an ideal gas A at 27 °C is found to be 2 bar. When 2 g of another ideal gas B is introduced in the same flask at the same temperature the pressure becomes 3 bar. Find a relationship between their molecular masses.
The drain cleaner, Drainex contains small bits of aluminum which react with caustic soda to produce dihydrogen. What volume of dihydrogen at 20 °C and one bar will be released when 0.15g of aluminum reacts?
The density of a gas is found to be 5.46 g/dm3 at 27 °C at 2 bar pressure. What will be its density at STP?
How much time would it take to distribute one Avogadro number of wheat grains, if 1010 grains are distributed each second?
____________ states that equal volumes of all gases under identical conditions of temperature and pressure contain equal number of molecules.
Which of the following hydride does not obey law of constant proportion?
The number of atoms present in one mole of an element is equal to Avogadro number. Which of the following element contains the greatest number of atoms?
Avogadro's law distinguishes between ______.
The weight of 350 mL of a diatomic gas at 0°C and 2 atm pressures is 1 g. The weight of one atom in gram is: (N = Avogadro's number)
