PCl₅(g) -> PCl₃ (g) + Cl₂(g)

In the above first order reaction, the concentration of PCl₅ reduces from initial concentration 50mol L^-1 to mol L^-1 in 120 minutes at 300K. The rate constant for the reaction at 300K is x × 10^-2 min^-1. the value of x is_________.

[Given log5 = 0.6989]

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Vishal Baghel | Contributor-Level 10

2 months ago

$P C l_{5} (g) \to P C l_{3} (g) + C l_{2} (g)$ (first order reaction)

$K = \frac{2.303}{120} l o g (\frac{50}{10})$

$∴ K = \frac{2.303 \times l o g 5}{120 m i n} = \frac{2.303 \times 0.6989}{120}$ = 0.0134 min^-1

Rate constant at 300K = 1.34 × 10^-2min^-1 [the nearest integer = 1.0]

<!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1816162221"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mi>P</mi> <mi>C</mi> <msub> <mrow> <mi>l</mi> </mrow> <mrow> <mn>5</mn> </mrow> </msub> <mrow> <mo> (</mo> <mrow> <mi>g</mi> </mrow> <mo>)</mo> </mrow> <mo>→</mo> <mi>P</mi> <mi>C</mi> <msub> <mrow> <mi>l</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> <mrow> <mo> (</mo> <mrow> <mi>g</mi> </mrow> <mo>)</mo> </mrow> <mo>+</mo> <mi>C</mi> <msub> <mrow> <mi>l</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mrow> <mo> (</mo> <mrow> <mi>g</mi> </mrow> <mo>)</mo> </mrow> </mrow> </math> (first order reaction) <math> <mrow> <mi>K</mi> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <mo>.</mo> <mn>3</mn> <mn>0</mn> <mn>3</mn> </mrow> <mrow> <mn>1</mn> <mn>2</mn> <mn>0</mn> </mrow> </mfrac> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mrow> <mo> (</mo> <mrow> <mfrac> <mrow> <mn>5</mn> <mn>0</mn> </mrow> <mrow> <mn>1</mn> <mn>0</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> </math>      <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1816162222"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mo>∴</mo> <mi>K</mi> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <mo>.</mo> <mn>3</mn> <mn>0</mn> <mn>3</mn> <mo>×</mo> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mn>5</mn> </mrow> <mrow> <mn>1</mn> <mn>2</mn> <mn>0</mn> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <mo>.</mo> <mn>3</mn> <mn>0</mn> <mn>3</mn> <mo>×</mo> <mn>0</mn> <mo>.</mo> <mn>6</mn> <mn>9</mn> <mn>8</mn> <mn>9</mn> </mrow> <mrow> <mn>1</mn> <mn>2</mn> <mn>0</mn> </mrow> </mfrac> </mrow> </math> = 0.0134 min-1Rate constant at 300K = 1.34 × 10-2min-1 [the nearest integer = 1.0]

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PCl₅(g) -> PCl₃ (g) + Cl₂(g)

In the above first order reaction, the concentration of PCl₅ reduces from initial concentration 50mol L^-1 to mol L^-1 in 120 minutes at 300K. The rate constant for the reaction at 300K is x × 10^-2 min^-1. the value of x is_________.

[Given log5 = 0.6989]

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PCl5(g) -> PCl3 (g) + Cl2(g) In the above first order reaction, the concentration of PCl5 reduces from initial concentration 50mol L-1 to mol L-1 in 120 minutes at 300K. The rate constant for the reaction at 300K is x × 10-2 min-1. the value of x is_________. [Given log5 = 0.6989]

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PCl₅(g) -> PCl₃ (g) + Cl₂(g)

In the above first order reaction, the concentration of PCl₅ reduces from initial concentration 50mol L^-1 to mol L^-1 in 120 minutes at 300K. The rate constant for the reaction at 300K is x × 10^-2 min^-1. the value of x is_________.

[Given log5 = 0.6989]