For the reaction $2 N O_{2} (g) \overset{}{?} N_{2} O_{4} (g), w h e n Δ S = - 176.0 J K^{- 1} a n d Δ H = - 57.8 k J$ mol^-1, the magnitude of $Δ G$ at 298 K for the reaction is______ kJ mol^-1. (Nearest integer)

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alok kumar singh | Contributor-Level 10

2 months ago

$2 N O_{2} (g) ? N_{2} O_{4} (g)$

$Δ S = - 176 J K^{- 1} = - 0.176 k J K^{- 1}$

$Δ H = - 57.8 K J m o l^{- 1}$

T = 298 K

Using , $Δ G = Δ H - T Δ S$

$= - 57.8 + (298 \times 0.176) K J m o l^{- 1}$

$= - 5.3 K J m o l^{- 1}$

Hence, magnitude of $Δ G$ in kJmol^-1 is 5 (nearest integers)

<math> <mrow> <mn>2</mn> <mi>N</mi> <msub> <mrow> <mi>O</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mi>g</mi> </mrow> <mo>)</mo> </mrow> <mo>?</mo> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <msub> <mrow> <mi>O</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mi>g</mi> </mrow> <mo>)</mo> </mrow> </mrow> </math> <math> <mrow> <mi>Δ</mi> <mi>S</mi> <mo>=</mo> <mo>−</mo> <mn>1</mn> <mn>7</mn> <mn>6</mn> <mi>J</mi> <msup> <mrow> <mi>K</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>=</mo> <mo>−</mo> <mn>0</mn> <mo>.</mo> <mn>1</mn> <mn>7</mn> <mn>6</mn> <mi>k</mi> <mi>J</mi> <msup> <mrow> <mi>K</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math>   <math> <mrow> <mi>Δ</mi> <mi>H</mi> <mo>=</mo> <mo>−</mo> <mn>5</mn> <mn>7</mn> <mo>.</mo> <mn>8</mn> <mi>K</mi> <mi>J</mi> <mi>m</mi> <mi>o</mi> <msup> <mrow> <mi>l</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math>                T = 298 KUsing ,   <math> <mrow> <mi>Δ</mi> <mi>G</mi> <mo>=</mo> <mi>Δ</mi> <mi>H</mi> <mo>−</mo> <mi>T</mi> <mi>Δ</mi> <mi>S</mi> </mrow> </math> <math> <mrow> <mo>=</mo> <mo>−</mo> <mn>5</mn> <mn>7</mn> <mo>.</mo> <mn>8</mn> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <mn>2</mn> <mn>9</mn> <mn>8</mn> <mo>×</mo> <mn>0</mn> <mo>.</mo> <mn>1</mn> <mn>7</mn> <mn>6</mn> </mrow> <mo>)</mo> </mrow> <mi>K</mi> <mi>J</mi> <mi>m</mi> <mi>o</mi> <msup> <mrow> <mi>l</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math>               <math> <mrow> <mo>=</mo> <mo>−</mo> <mn>5</mn> <mo>.</mo> <mn>3</mn> <mi>K</mi> <mi>J</mi> <mi>m</mi> <mi>o</mi> <msup> <mrow> <mi>l</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math>               Hence, magnitude of  <math> <mrow> <mi>Δ</mi> <mi>G</mi> </mrow> </math> in kJmol-1 is 5 (nearest integers)

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For the reaction $2 N O_{2} (g) \overset{}{?} N_{2} O_{4} (g), w h e n Δ S = - 176.0 J K^{- 1} a n d Δ H = - 57.8 k J$ mol^-1, the magnitude of $Δ G$ at 298 K for the reaction is______ kJ mol^-1. (Nearest integer)

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For the reaction 2 N O 2 ( g ) ? N 2 O 4 ( g ) , w h e n Δ S = − 1 7 6 . 0 J K − 1 a n d Δ H = − 5 7 . 8 k J mol-1, the magnitude of Δ G at 298 K for the reaction is______ kJ mol-1. (Nearest integer)

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For the reaction $2 N O_{2} (g) \overset{}{?} N_{2} O_{4} (g), w h e n Δ S = - 176.0 J K^{- 1} a n d Δ H = - 57.8 k J$ mol^-1, the magnitude of $Δ G$ at 298 K for the reaction is______ kJ mol^-1. (Nearest integer)