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At a certain temperature the rate of this reaction is first order in HI with a rate constant of :7.21s?1

2HI(g)-->H2(g) + I2(g)

Suppose a vessel contains HI at a concentration of 0.440M. Calculate the concentration of HI in the vessel 0.210 seconds later. You may assume no other reaction is important.

Round your answer to 2 significant digits.

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dsdrajlin

Answer:

0.097 M

Explanation:

Let's consider the following reaction.

2 HI(g) → H₂(g) + I₂(g)

At a certain temperature, the rate of this reaction is first order in HI with a rate constant (k) of 7.21 s⁻¹.

We can find the concentration of HI ([HI]) after a certain time t using the following expression.

[tex][HI]=[HI]_{0}.e^{-k\times t}[/tex]

where,

[HI]₀ is the initial concentration of HI

[tex][HI]=0.440M.e^{-7.21s^{-1} \times 0.210s}=0.097 M[/tex]

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