Question

When measured at 27°C, the volume of Oxygen gas was 400ml, what would be the new volume at 127°C at constant pressure.
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Answer 1

Answer :-

New volume of the Oxygen gas at given conditions is 533.33 mL .

Explanation :-

We have :-

→ Initial temperature (T₁) = 27°C

→ Final temperature (T₂) = 127°C

→ Initial volume (V₁) = 400 mL

→ Pressure is constant .

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Firstly let's convert the units of initial and final volume from °C to K .

Initial volume :-

⇒ 0°C = 273 K

⇒ 27°C = 27 + 273

⇒ 300 K

Final volume :-

⇒ 127°C = 127 + 273

⇒ 400 K

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Now according to Charle's Law, we know that :-

V₁/T₁ = V₂/T₂ [Constant pressure]

⇒ 400/300 = V₂/400

⇒ 4/3 = V₂/400

⇒ V₂ = (400 × 4)/3

⇒ V₂ = 1600/3

⇒ V₂ = 533.33 mL

Answer 2

Given :-

When measured at 27°C, the volume of Oxygen gas was 400ml, what would be the new volume at 127°C at constant pressure

To Find :-

New Volume

Solution :-

We know that

0°C = 273.15° K

27°C = 273.15 + 27 = 299.15° K

127° C = 273.15 + 127  = 399.15° K

V/T = V'/T'

$\sf\dfrac{400}{299.15} =\dfrac{V'}{399.15}$

$\sf\dfrac{80}{59.83} = \dfrac{V'}{399.15}$

$\sf\dfrac{80}{59.83}\times \dfrac{399.15}{1} = V'$

$\sf\dfrac{31932}{59.83} = V'$

'$\sf 533.72\; ml = V'$