Question

gas occupies 200 ml at a pressure of 27 degree celsius and 76 mmhg pressure find volume at -3 degree celsius with pressure remaining constant

Answer 1

Given :

Initial volume = 200ml

Initial temperature = 27°C

Final temperature = -3°C

To Find :

Final volume of the gas.

Solution :

❖ Charles' law : Pressure remaining constant, the volume of a fixed mass of a gas is directly proportional to its absolute temperature. (V ∝ T)

Formula : $\underline{\boxed{\bf{\purple{\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}}}}}$

• V₁ denotes initial volume
• V₂ denotes final volume
• T₁ denotes initial temperature
• T₂ denotes final temperature

First of all we need to convert unit of temperature from °C to K.

We know that 0°C = 273K

» T₁ = 27°C = 27 + 273 = 300K

» T₂ = -3°C = -3 + 273 = 270K

By substituting the given values;

➙ V₁ / T₁ = V₂ / T₂

➙ 200 / 300 = V₂ / 270

➙ V₂ = 270 × 2/3

➙ V₂ = 180 ml

Answer 2

$\huge{\underline{\underline {\mathtt{\purple{Hlw}\pink{Mate}}}}}$

$\Large\bold\blue{Given:}$

Initial volume = 200ml

Initial temperature = 27°C

Final temperature = -3°C

$\Large\bold\blue{To Find :}$

Final volume of the gas.

$\Large\bold\blue{Solution :}$

Charles' law States that (V ∝ T)

$Formula : \underline{\boxed{\bf{\pink{\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}}}}}$

Let,

V₁ = Initial volume

V₂ = Final volume

T₁ = Initial temperature

T₂ = Final temperature

Convert unit of temperature from °C to K.

0°C = 273K

T₁ = 27°C = 27 + 273 = 300K

T₂ = -3°C = -3 + 273 = 270K

Substituting the given values,

V₁ / T₁ = V₂ / T₂

200 / 300 = V₂ / 270

V₂ = 270 × 2/3

$\Large\green{V₂\:=\:180 ml}$

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