Question

300cc of a gas are heated from 27⁰c to 127⁰c what will be the new volume at constant pressure?​

Answer 1

Answer:

In this case, V1 = 1000cc

T1 = 27 + 273 = 300K

T2 = 327 + 273 = 600K

V2 = ?

Using Charles law, we get,

V2=V1(T2/T1) = 1000 X 2 = 2000cc

Answer 2

Given:-

→ Initial volume of the gas = 300 cc

→ Initial temperature = 27°C

→ Final temperature = 127°C

→ Pressure is constant .

To find:-

→ Final/new volume of the gas.

Solution:-

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

⇒ 0°C = 273 K

⇒ 27°C = 273 + 27

⇒ 300 K. [Initial temp.]

⇒ 127°C = 273 + 127

⇒ 400 K. [Final temp.]

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

V₁/T₁ = V₂/T₂ [P is constant]

Where :-

• V₁ is the initial volume of the gas.

• T₁ is initial temperature.

• V₂ is final volume.

• T₂ is final temperature.

Substituting values, we get :-

⇒ 300/300 = V₂/400

⇒ 1 = V₂/400

⇒ V₂ = 1 × 400

⇒ V₂ = 400 cc

Thus, required volume of the gas is 400cc .