Item 8 The frst-order rate constant for the decomposition of NOs. 2N,0: (R) -+4NO:(r) + Os(r) at 70°C is 6.82 x 10 s!. Suppose vre start weh 2.30«10 mol of N;Os (R) in a volume of 24L. • Part A How many moles of N;Os wil remain ater 4.0 min ? Express the amount in moles to two significant digits. Drdó rạdo tesất kayboard shortouts Halp 3.6 • 10~³ mol Previoun Anwera Regant Anwr Submit x Incorrect: Try Again; 7 atempts remaining Part 8 How many minutes wil it take for the quantity of N,0, to drop to 1.7x10 mol ? Express your answer using two significant figures. yanes uhdo rego feset keyboard shortouts Help 1.5 min Prevtoun Anwera Beauant Antwer Submit x Incorrect; Try Again; 7 attempts remaining Part C What is the halfife of NyO, at 70°C? Express the half-ife in seconds to three significant digits. tya" 102 Previous Anewer

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<Chapter 14 - Attempt 1
Item 8
8 of 18
>
I Review I Constants Periodic Table
The first-order rate constant for the decomposition of N2O..
2N205 (g)+ANO2(g) + O2(g)
Part A
at 70°C is 6.82 x 10s. Suppose we start with 2.30x10 mol of N20: (g) in a volume of 2.4 L
How many moles of N2O, will remain after 4.0 min ?
Express the amount in moles to two significant digits.
Pes
Templates Symbols undo regdo
keyboard shortcuts Help
T4 = 3.6• 103
mol
Submit
Prevlous Answere Requeet Anewer
X Incorrect; Try Again; 7 attempts remaining
Part B
How many minutes will it take for the quantity of N,O, to drop to 1.7x102 mol ?
Express your answer using two significant figures.
Pes
Templates Symbols undo redo Teset keyboard shortcuts Help
t= 1.5
min
Submit
Prevlous Answere Requeet Anewer
x Incorrect; Try Again; 7 attempts remaining
• Part C
What is the half-life of N2O5 at 70°C?
Express the half-life in seconds to three significant digits.
ti/2= 102 s
Submit
Prevloun Anawere
v Correct
Given that In(n /no) = -kt, we can derive an equation that describes the half-life, t1/2. which is the time required for the substance to be depleted to half the amount:
In(0.5) = -kt/2
If you multiply both sides by –1, the natural log ratio becomes inverted, -In(0.5) = In(2). Therefore, the half-life is equal to the natural log of 2 divided by the rate constant, ti/2 = In(2)/k. Knowing the value of the rate constant allows you to solve for the
half-life without knowing any other properties; likewise, knowing the value of the half-life allows you to solve for the rate constant.
Transcribed Image Text:<Chapter 14 - Attempt 1 Item 8 8 of 18 > I Review I Constants Periodic Table The first-order rate constant for the decomposition of N2O.. 2N205 (g)+ANO2(g) + O2(g) Part A at 70°C is 6.82 x 10s. Suppose we start with 2.30x10 mol of N20: (g) in a volume of 2.4 L How many moles of N2O, will remain after 4.0 min ? Express the amount in moles to two significant digits. Pes Templates Symbols undo regdo keyboard shortcuts Help T4 = 3.6• 103 mol Submit Prevlous Answere Requeet Anewer X Incorrect; Try Again; 7 attempts remaining Part B How many minutes will it take for the quantity of N,O, to drop to 1.7x102 mol ? Express your answer using two significant figures. Pes Templates Symbols undo redo Teset keyboard shortcuts Help t= 1.5 min Submit Prevlous Answere Requeet Anewer x Incorrect; Try Again; 7 attempts remaining • Part C What is the half-life of N2O5 at 70°C? Express the half-life in seconds to three significant digits. ti/2= 102 s Submit Prevloun Anawere v Correct Given that In(n /no) = -kt, we can derive an equation that describes the half-life, t1/2. which is the time required for the substance to be depleted to half the amount: In(0.5) = -kt/2 If you multiply both sides by –1, the natural log ratio becomes inverted, -In(0.5) = In(2). Therefore, the half-life is equal to the natural log of 2 divided by the rate constant, ti/2 = In(2)/k. Knowing the value of the rate constant allows you to solve for the half-life without knowing any other properties; likewise, knowing the value of the half-life allows you to solve for the rate constant.
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