Chemistry, asked by tayyaba99, 3 months ago


The volume of a gas to 0°C is 100cm', what will be the volume of the same gas at 546°C

Answers

Answered by MagicalBeast
2

Given :

  • Initial temperature ( T₁ ) of gas = 0° C
  • Initial volume ( V₁ ) of gas = 100 cm³
  • Final temperature ( T₂ ) of gas = 546°C

Note - We are not provided any information about pressure, so we will assume that pressure remains constant during whole process.

To find :

Final volume ( V₂ ) of gas

Solution :

Using Charles's law at constant pressure Volume of gas is directly proportional to its temperature in Kelvin scale. That is, V ∝ T.

This gives,

\sf  \: \dfrac{V_1}{V_2} = \dfrac{T_1}{T_2} \:  \:  \: equation \: 1

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Now first of all we need to find Temperature in Kelvin scale

  • T₁ = 0°C

➝ T₁ = 0 + 273 K

➝ T₁ = 273 K

  • T₂ = 546°C

➝ T₂ = 546 + 273 K

➝ T₂ = 819 K

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Now , putting value in equation 1, we get;

\sf  \implies \:  \: \dfrac{100  \: {cm}^{3} }{V_2} = \dfrac{273}{819} \\  \\ \sf  \implies \:  \: \dfrac{100  \: {cm}^{3} }{V_2} = \dfrac{273}{273 \times 3}

\sf  \implies \:  \: \dfrac{100  \: {cm}^{3} }{V_2} = \dfrac{1}{  3}

\sf  \implies \:  \: 100  \: {cm}^{3}  \times 3 \:  =  \: V_2

\sf  \implies \: V_2 \:  =  \bold{300 \:  {cm}^{3} }

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ANSWER : 300 cm³

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