For the following rate lawrate=k[A]^xdetermine the...

Question

For the following rate lawrate=k[A]^xdetermine the value of x if(a) the rate doubles when [A] is doubled.x= __________(b) the rate quadruples when [A] is doubled.x=__________

Jules Bruno · Accepted Answer

Given:rate=k[A]x[readmore]For each of the conditions below the equilibrium constant k is the same and could be ignored in the calculation. We are asked to determine the following:1. Value of x when the rate doubles when [A] is doubled.Take a rate of 1.0 M/s and [A] = 1.0 M  to a rate of 2.0 M/s and [A] = 2.0 M for example:2.0 M/s1.0 M/s=(2.0 M1.0 M)xlog of both sides and solving for x:​​​log (2.0 M/s1.0 M/s) = x [log(2.0 M1.0 M)]​​​log (2.0) [log(2.0 M)]= x [log(2.0)][log(2.0)]x =​​log (2.0) [log(2.0 M)]x = 12. Value of x when the rate quadruples when [A] is doubled.Take a rate of 1.0 M/s and [A] = 1.0 M  to a rate of 4.0 M/s and [A] = 2.0 M for example:4.0 M/s1.0 M/s=(2.0 M1.0 M)xlog of both sides and solving for x:​​​log (4.0 M/s1.0 M/s) = x [log(2.0 M1.0 M)]​​​log (4.0) [log(2.0 M)]= x [log(2.0)][log(2.0)]x =​​log (4.0) [log(2.0 M)]x = 2

Problem: For the following rate lawrate=k[A]^xdetermine the value of x if(a) the rate doubles when [A] is doubled.x= (b) the rate quadruples when [A] is doubled.x=

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Problem: For the following rate lawrate=k[A]^xdetermine the value of x if(a) the rate doubles when [A] is doubled.x= __________(b) the rate quadruples when [A] is doubled.x=__________

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Problem: For the following rate lawrate=k[A]^xdetermine the value of x if(a) the rate doubles when [A] is doubled.x= (b) the rate quadruples when [A] is doubled.x=