Short Answer Type
Long Answer TypeA gas cylinder containing cooking gas can withstand a pressure of 14.9 bar. The pressure gauge of the cylinder indicates 12 bar at 27°C. Due to sudden fire in the building, the temperature starts rising. At what temperature will the cylinder explode?
State Avogadro's law and prove that volume of gases at constant temperature and pressure is directly proportional to their number of moles.
Short Answer TypeTwo flasks A and B have equal to volumes. Flask A contains H2 and is maintained at 300K while the flask B contains an equal mass of CH4 gas and is maintained at 600K. Which flask contains a greater number of molecules ? How many times?
Long Answer TypeWith the help of Boyle's and Charle's laws, derive an expression for the ideal gas equation.
Short Answer TypeDerive the dimensions of the gas constant.
Or
What do you mean by the nature of universal consant R?
How much time would it take to distribute one Avogadro number of wheat grains, if 1010grains are distributed each second?
Long Answer TypeShort Answer TypeUsing the equation of state pV = nRT; show that at a given temperature density of a gas is proportional to gas pressure p.
The equation of state is given by,
pV = nRT …. (i)
Where, p → Pressure of gas
V → Volume of gas
n→ Number of moles of gas
R → Gas constant
T → Temperature of gas
From equation (i) we have,
p = n RT/V
Where n= Mass of gas(m)/ Molar mass of gas(M)
Putting value of n in the equation, we have
p = m RT/ MV ------------(ii)
Now density(ρ) = m /V ---------(iii)
Putting (iii) in (ii) we get
P = ρ RT / M
OR
ρ = PM / RT
Hence, at a given temperature, the density (ρ) of gas is proportional to its pressure (P).
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