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प्रश्न
Calculate the volume of 1 mole of an ideal gas at STP.
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उत्तर
Here,
STP means a system having a temperature of 273 K and 1 atm pressure.
Pressure, P = 1.01325\[\times\]05 Pa
No of moles, n = 1 mol
Temperature, T = 273 K
Applying the equation of an ideal gas, we get
PV = nRT
⇒ V =\[\frac{RT}{P}\]
⇒ V=\[\frac{8 . 314 \times 273}{1 . 01325 \times {10}^5} = 0 . 0224 \text{ m}^3\]
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संबंधित प्रश्न
Which of the following quantities is zero on an average for the molecules of an ideal gas in equilibrium?
Let Q and W denote the amount of heat given to an ideal gas and the work done by it in an isothermal process.
Let Q and W denote the amount of heat given to an ideal gas and the work done by it in an adiabatic process.
(a) Q = 0
(b) W = 0
(c) Q = W
(d) Q ≠ W
A rigid container of negligible heat capacity contains one mole of an ideal gas. The temperature of the gas increases by 1° C if 3.0 cal of heat is added to it. The gas may be
(a) helium
(b) argon
(c) oxygen
(d) carbon dioxide
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The ratio of the molar heat capacities of an ideal gas is Cp/Cv = 7/6. Calculate the change in internal energy of 1.0 mole of the gas when its temperature is raised by 50 K (a) keeping the pressure constant (b) keeping the volume constant and (c) adiaba
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The volume of an ideal gas (γ = 1.5) is changed adiabatically from 4.00 litres to 3.00 litres. Find the ratio of (a) the final pressure to the initial pressure and (b) the final temperature to the initial temperature.
An ideal gas at pressure 2.5 × 105 Pa and temperature 300 K occupies 100 cc. It is adiabatically compressed to half its original volume. Calculate (a) the final pressure (b) the final temperature and (c) the work done by the gas in the process. Take γ = 1.5
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ABCDEFGH is a hollow cube made of an insulator (Figure). Face ABCD has positive charge on it. Inside the cube, we have ionized hydrogen. The usual kinetic theory expression for pressure ______.

- will be valid.
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- will not be valid since collisions with walls would not be elastic.
- will not be valid because isotropy is lost.
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- have the same value for all molecules.
- equals the translational kinetic energy for each molecule.
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(Hydrogen molecules can be consider as spheres of radius 1 Å).
