Explanation Given: k = 7.48 × 10 −3 s −1 Formula used: [ A ] = [ A ] 0 e − k t P T = P A + P B + P C + … Calculation: (a) We can begin by writing out the proper balanced equation for the decomposition: 2 N 2 O 5 ⇌ 4 N O 2 + O 2 We are given the initial pressure of 0.100 and we have determine how much of each substance will form to give us the total pressure of 0.145 atm. P N 2 O 5 = 0.100 – 2 x P N O 2 = 4 x P O 2 = s x P T = ( 0.100 – 2 x ) + 4 x + x = 0.145 0.100 + 3 x = 0.145 3 x = 0.045 x = 0.015 a t m Now we can find the actual pressure of N 2 O 5 to give this total pressure and solve for the length of time t : P N2O5 = 0.100 - 2x = 0.100 - 2(0.015) = 0.070 [ N 2 O 5 ] = ( 0.100 ) e − 7.48 × 10 − 3 t 0.070 = ( 0.100 ) e − 7.48 × 10 − 3 t 0.070 0.100 = e − 7.48 × 10 − 3 t − 7.48 × 10 − 3 t = ln 0.070 0.100 t = ln 0.070 0.100 − 7.48 × 10 − 3 = 47.7 At t = 47.7 seconds, the total pressure will be 0.145 atm. (b) We can simply repeat the exact same process, except now the total pressure will be 0.200 atm. P N 2 O 5 = 0.100 – 2 x P N O 2 = 4 x P O 2 = x P T = ( 0.100 – 2 x ) + 4 x + x = 0.200 0.100 + 3 x = 0.200 3 x = 0.100 x = 0.033 a t m Now, we can find the actual pressure of N 2 O 5 to give this total pressure and solve for t : P N 2 O 5 = 0...

Pearson eText for Chemistry: structures and Properties -- Instant Access (Pearson+)

2nd Edition

ISBN: 9780136951537

Author: Nivaldo Tro

Publisher: PEARSON+

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Chapter 14, Problem 116E

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To determine: The length of time for each system to reach a specified total pressure and the total pressure after a specific period of time.

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Chapter 14 Solutions

Pearson eText for Chemistry: structures and Properties -- Instant Access (Pearson+)

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The length of time for each system to reach a specified total pressure and the total pressure after a specific period of time.

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To determine: The length of time for each system to reach a specified total pressure and the total pressure after a specific period of time.

Chapter 14 Solutions