Question

1 litre gas is measured at zero degree celsius what volume will it occupied at -20degree celcius?
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Answer 1

Answer :-

The gas will occupy a volume of 0.92 litres at -20°C .

Explanation :-

We have :-

→ Initial Volume (V₁) = 1 L

→ Initial temperature (T₁) = 0°C

→ Final temperature (T₂) = -20°C

To find :-

→ Final volume (V₂)

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Firstly, let's convert the unit of initial and final temperatures from °C to K .

Initial temperature :-

⇒ 0°C = 273 K

⇒ 273 K

Final temperature :-

⇒ -20°C = 273 - 20

⇒ 253 K

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

V₁/T₁ = V₂/T₂ [Pressure is constant]

⇒ 1/273 = V₂/253

⇒ V₂ = (253 × 1)/273

⇒ V₂ = 253/273

⇒ V₂ = 0.92 L

Answer 2

Given :-

1  litre gas is measured at zero degree celsius

To Find :-

What  volume will it occupied at -20degree celcius

Solution :-

We know that

0° C = 273.15° K

-20° C = 273.15° + (-20)

-20° C = 273.15 - 20

-20° C = 253.15° K

Now

V/T = V'/T'

1/273.15 = V'/253.15

1 × 253.15 = 273.15 × V'

253.15 = 273.15 × V'

253.15/273.15 = V'

0.926 = V'

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