Rate Constant under Constant Pressure and Temperature for Zero Order Reaction Calculator

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✖The Time for completion is defined as the time required for a complete transformation of reactant into the product.ⓘ Time for completion [t]			+10% -10%
✖The Initial Pressure of Reactant is defined as the pressure of the reactant gas before the start of the reaction.ⓘ Initial Pressure of Reactant [P₀]			+10% -10%
✖The Order of the reaction is the sum of the power of concentration or pressure terms raised in the rate law expression. The order maybe 0,1,2,3 ....and even fractional or negative.ⓘ Order of the reaction [n]			+10% -10%
✖The Pressure at Time t is defined as the reactant pressure after a certain interval of time or as a reaction proceeds.ⓘ Pressure at Time t [P_t]			+10% -10%

✖The Rate Constant of Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant.ⓘ Rate Constant under Constant Pressure and Temperature for Zero Order Reaction [k]

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Formula

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Rate Constant under Constant Pressure and Temperature for Zero Order Reaction

Formula

`"k" = (2.303/"t")*log10(("P"_{"0"}*("n"-1))/(("n"*"P"_{"0"})-"P"_{"t"}))`

Example

`"8.7E^-6mol/L*s"=(2.303/"48s")*log10(("7at"*("0.0001"-1))/(("0.0001"*"7at")-"4.6at"))`

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Rate Constant under Constant Pressure and Temperature for Zero Order Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant of Zero Order Reaction = (2.303/Time for completion)*log10((Initial Pressure of Reactant*(Order of the reaction-1))/((Order of the reaction*Initial Pressure of Reactant)-Pressure at Time t))
k = (2.303/t)*log10((P₀*(n-1))/((n*P₀)-P_t))
This formula uses 1 Functions, 5 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Rate Constant of Zero Order Reaction - (Measured in Mole per Cubic Meter Second) - The Rate Constant of Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant.
Time for completion - (Measured in Second) - The Time for completion is defined as the time required for a complete transformation of reactant into the product.
Initial Pressure of Reactant - (Measured in Pascal) - The Initial Pressure of Reactant is defined as the pressure of the reactant gas before the start of the reaction.
Order of the reaction - The Order of the reaction is the sum of the power of concentration or pressure terms raised in the rate law expression. The order maybe 0,1,2,3 ....and even fractional or negative.
Pressure at Time t - (Measured in Pascal) - The Pressure at Time t is defined as the reactant pressure after a certain interval of time or as a reaction proceeds.

STEP 1: Convert Input(s) to Base Unit

Time for completion: 48 Second --> 48 Second No Conversion Required
Initial Pressure of Reactant: 7 Atmosphere Technical --> 686465.5 Pascal (Check conversion here)
Order of the reaction: 0.0001 --> No Conversion Required
Pressure at Time t: 4.6 Atmosphere Technical --> 451105.9 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (2.303/t)*log10((P₀*(n-1))/((n*P₀)-P_t)) --> (2.303/48)*log10((686465.5*(0.0001-1))/((0.0001*686465.5)-451105.9))

Evaluating ... ...

k = 0.00874961853510419

STEP 3: Convert Result to Output's Unit

0.00874961853510419 Mole per Cubic Meter Second -->8.74961853510419E-06 Mole per Liter Second (Check conversion here)

FINAL ANSWER

8.74961853510419E-06 ≈ 8.7E-6 Mole per Liter Second <-- Rate Constant of Zero Order Reaction

(Calculation completed in 00.004 seconds)

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< 19 Zero Order Reaction Calculators

Rate Constant under Constant Pressure and Temperature for Zero Order Reaction

Go Rate Constant of Zero Order Reaction = (2.303/Time for completion)*log10((Initial Pressure of Reactant*(Order of the reaction-1))/((Order of the reaction*Initial Pressure of Reactant)-Pressure at Time t))

Temperature in Arrhenius Equation for Zero Order Reaction

Go Temperature in Arrhenius Eq Zero Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for Zero Order/Rate Constant for Zero Order Reaction)))

Activation Energy for Zero Order Reactions

Go Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation)-ln(Rate Constant of Zero Order Reaction))

Rate Constant for Zero Order Reaction from Arrhenius Equation

Go Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))

Arrhenius Constant for Zero Order Reaction

Go Frequency Factor from Arrhenius Eqn for Zero Order = Rate Constant for Zero Order Reaction/exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))

Initial Concentration of Zero Order Reaction

Go Initial Concentration for Zero Order Reaction = (Rate Constant of Zero Order Reaction*Reaction Time)+Concentration at Time t

Concentration of Time of Zero Order Reaction

Go Concentration at Time t = Initial Concentration for Zero Order Reaction-(Rate Constant of Zero Order Reaction*Reaction Time)

Rate Constant of Zero Order Reaction

Go Rate Constant of Zero Order Reaction = (Initial Concentration for Zero Order Reaction-Concentration at Time t)/Reaction Time

Reactant Concentration of Zero Order Reaction

Go Reactant Concentration = Initial Reactant Concentration-Rate Constant of Zero Order Reaction*Time in seconds

Time for Completion by Titration Method for Zero Order Reaction

Go Time for completion = (Initial Reactant Volume-Volume at Time t)/Rate Constant of Zero Order Reaction

Rate Constant by Titration Method for Zero Order Reaction

Go Rate Constant of Zero Order Reaction = (Initial Reactant Volume-Volume at Time t)/Time for completion

Quarter Life of Zero Order Reaction

Go Quarter Life of Zero Order Reaction = (3*Initial Concentration for Zero Order Reaction)/(4*Rate Constant of Zero Order Reaction)

Initial Concentration given Time for Completion at Half Time

Go Initial Concentration for Zero Order Reaction = (2*Half Life of Zero Order Reaction*Rate Constant of Zero Order Reaction)

Initial Concentration of Zero Order Reaction at Half Time

Go Initial Concentration for Zero Order Reaction = (2*Half Life of Zero Order Reaction*Rate Constant of Zero Order Reaction)

Time for Completion of Zero Order Reaction at Half Time

Go Half Life of Zero Order Reaction = Initial Concentration for Zero Order Reaction/(2*Rate Constant of Zero Order Reaction)

Rate Constant at Half Time of Zero Order Reaction

Go Rate Constant of Zero Order Reaction = Initial Concentration for Zero Order Reaction/(2*Half Life of Zero Order Reaction)

Half Life of Zero Order Reaction

Go Half Life of Zero Order Reaction = Initial Concentration for Zero Order Reaction/(2*Rate Constant of Zero Order Reaction)

Time for Completion of Zero Order Reaction

Go Time for completion = Initial Concentration for Zero Order Reaction/Rate Constant of Zero Order Reaction

Concentration of Time at Half Time for Zero Order Reaction

Go Concentration at Time t = (Initial Concentration for Zero Order Reaction/2)

Rate Constant under Constant Pressure and Temperature for Zero Order Reaction Formula

What is zero order reaction?

The zero-order reaction means that the rate of reaction is proportional to zero power of the concentration of the reactant. The half-life of the zero-order reaction increases linearly with the initial concentration of the reactant. The concentration of the reactant during reaction decreases linearly with time.

How to Calculate Rate Constant under Constant Pressure and Temperature for Zero Order Reaction?

Rate Constant under Constant Pressure and Temperature for Zero Order Reaction calculator uses Rate Constant of Zero Order Reaction = (2.303/Time for completion)*log10((Initial Pressure of Reactant*(Order of the reaction-1))/((Order of the reaction*Initial Pressure of Reactant)-Pressure at Time t)) to calculate the Rate Constant of Zero Order Reaction, The Rate constant under constant pressure and temperature for zero order reaction formula is defined as progress of gaseous reaction which can be monitored by measuring total pressure at a fixed volume and temperature. As the rate constant is for zero order reaction, the order of the reaction(n) should be substituted as zero. Rate Constant of Zero Order Reaction is denoted by k symbol.

How to calculate Rate Constant under Constant Pressure and Temperature for Zero Order Reaction using this online calculator? To use this online calculator for Rate Constant under Constant Pressure and Temperature for Zero Order Reaction, enter Time for completion (t), Initial Pressure of Reactant (P₀), Order of the reaction (n) & Pressure at Time t (P_t) and hit the calculate button. Here is how the Rate Constant under Constant Pressure and Temperature for Zero Order Reaction calculation can be explained with given input values -> 4.2E-8 = (2.303/48)*log10((686465.5*(0.0001-1))/((0.0001*686465.5)-451105.9)).

FAQ

What is Rate Constant under Constant Pressure and Temperature for Zero Order Reaction?

The Rate constant under constant pressure and temperature for zero order reaction formula is defined as progress of gaseous reaction which can be monitored by measuring total pressure at a fixed volume and temperature. As the rate constant is for zero order reaction, the order of the reaction(n) should be substituted as zero and is represented as k = (2.303/t)*log10((P₀*(n-1))/((n*P₀)-P_t)) or Rate Constant of Zero Order Reaction = (2.303/Time for completion)*log10((Initial Pressure of Reactant*(Order of the reaction-1))/((Order of the reaction*Initial Pressure of Reactant)-Pressure at Time t)). The Time for completion is defined as the time required for a complete transformation of reactant into the product, The Initial Pressure of Reactant is defined as the pressure of the reactant gas before the start of the reaction, The Order of the reaction is the sum of the power of concentration or pressure terms raised in the rate law expression. The order maybe 0,1,2,3 ....and even fractional or negative & The Pressure at Time t is defined as the reactant pressure after a certain interval of time or as a reaction proceeds.

How to calculate Rate Constant under Constant Pressure and Temperature for Zero Order Reaction?

The Rate constant under constant pressure and temperature for zero order reaction formula is defined as progress of gaseous reaction which can be monitored by measuring total pressure at a fixed volume and temperature. As the rate constant is for zero order reaction, the order of the reaction(n) should be substituted as zero is calculated using Rate Constant of Zero Order Reaction = (2.303/Time for completion)*log10((Initial Pressure of Reactant*(Order of the reaction-1))/((Order of the reaction*Initial Pressure of Reactant)-Pressure at Time t)). To calculate Rate Constant under Constant Pressure and Temperature for Zero Order Reaction, you need Time for completion (t), Initial Pressure of Reactant (P₀), Order of the reaction (n) & Pressure at Time t (P_t). With our tool, you need to enter the respective value for Time for completion, Initial Pressure of Reactant, Order of the reaction & Pressure at Time t and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Rate Constant of Zero Order Reaction?

In this formula, Rate Constant of Zero Order Reaction uses Time for completion, Initial Pressure of Reactant, Order of the reaction & Pressure at Time t. We can use 3 other way(s) to calculate the same, which is/are as follows -

Rate Constant of Zero Order Reaction = (Initial Concentration for Zero Order Reaction-Concentration at Time t)/Reaction Time
Rate Constant of Zero Order Reaction = Initial Concentration for Zero Order Reaction/(2*Half Life of Zero Order Reaction)
Rate Constant of Zero Order Reaction = (Initial Reactant Volume-Volume at Time t)/Time for completion

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