As per Gay Lussac’s law, which one is the correct statement

PT = Pressure at temperature T°C;

P0 = Pressure at temperature 0°C;

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ISRO URSC Technical Assistant Mechanical 13 Nov 2016 Official Paper
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  1. PT = P0 (273 + T) 
  2. PT = P0 (T + 1) 

Answer (Detailed Solution Below)

Option 1 :
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Detailed Solution

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Concept:

Gay-Lussac's law

P1 × T2 = P2 × T1

where P1 = the initial pressure, T1 = the initial temperature, P2 = the final pressure, T2 = the final temperature.

Calculation:

Given:

P1 = P0, T1 = 0°C = 273 K, P2 = PT, and  T2 = T°C = (T + 273) k

Gay-Lussac's law

P1 × T2 = P2 × T1

P0 × (T + 273) = PT × 273

Additional Information

Gay-Lussac’s law

The pressure exerted by a gas varies directly with the absolute temperature of the gas where the gas is having fixed mass and the constant volume.

P ∝ T ;

where P is the pressure exerted by the gas, T is the absolute temperature of the gas, k is a constant.

(initial condition),  (final condition)

∴   or P1 × T2 = P2 × T1

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