Calculate the volume of 470cm³ of
gas at 27°C, would occupy at 22°C
at constant pressure.
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Solution :
As per the given data,
V₁ = 470 cm³ = 0.470 L (dm³)
In order to convert cm³ into dm³(L) divide by 1000
T₁ = 273 + 27 = 300 K
T₂ = 273 + 22 = 295 K
As per the ideal gas equation,
- PV = nRT
Here,
- P = pressure
- V = volume
- n = moles
- R = universal gas constant
- T = temperature
On rearranging,
⇒ V/T = nR/P
All the terms on the R.H.S are constant
⇒ V/T = constant
From this, we can conclude that,
- V ∝ T
Charles Law - This law states that the volume of an ideal gas is directly proportional to its temperature at constant pressure.
Hence,
⇒ V₁ / T₁ = V₂ / T₂
⇒ V₂ = V₁ x T₁ / T₂
Now let's substitute the values,
⇒ V₂ = 0.470 x 300/295
⇒ V₂ = 141/295
⇒ V₂ = 0.477 L (dm³)
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