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The half-life for first order decomposition of N, O, is 1.4 x 10-5s. NO.(g) 2NO.() If N,O, is introduced into an evacuated flask at a pressure of 20mm Hg, how many seconds are required for pressure of No, to reach 10 mm Hg?
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The half-life for first order decomposition of N, O, is 1.4 x 10-5s. N...
Half-life of N, O
The given half-life for first order decomposition of N, O, is 1.4 x 10-5s.
Reaction
The reaction is given as:
N, O, → 2NO.
Initial Pressure
The initial pressure of N, O, in the evacuated flask is 20 mm Hg.
Pressure of NO after time t
The pressure of NO at any time t can be calculated using the following formula:
P(t) = P₀e^(-kt)
Where:
- P(t) is the pressure of NO at time t
- P₀ is the initial pressure of N, O,
- k is the rate constant for the reaction,
- t is the time elapsed.
Rate constant
The rate constant for a first-order reaction can be calculated using the formula:
k = ln(2) / t₁/₂
Where t₁/₂ is the half-life of the reaction.
Substituting the given values, we get:
k = ln(2) / (1.4 x 10^-5) s
k = 4.95 x 10^4 s^-1
Time required to reach 10 mm Hg
Substituting the values into the formula for pressure, we get:
10 mm Hg = 20 mm Hg x e^(-4.95 x 10^4 s^-1 x t)
Simplifying the equation, we get:
t = ln(0.5) / (-4.95 x 10^4 s^-1)
t = 1.4 x 10^-5 s
Conclusion
Therefore, it will take 1.4 x 10^-5 s for the pressure of NO to reach 10 mm Hg. This can be explained by the first-order decomposition of N, O, into NO., which has a rate constant of 4.95 x 10^4 s^-1 and a half-life of 1.4 x 10^-5 s.
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The half-life for first order decomposition of N, O, is 1.4 x 10-5s. NO.(g) 2NO.() If N,O, is introduced into an evacuated flask at a pressure of 20mm Hg, how many seconds are required for pressure of No, to reach 10 mm Hg?
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The half-life for first order decomposition of N, O, is 1.4 x 10-5s. NO.(g) 2NO.() If N,O, is introduced into an evacuated flask at a pressure of 20mm Hg, how many seconds are required for pressure of No, to reach 10 mm Hg? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The half-life for first order decomposition of N, O, is 1.4 x 10-5s. NO.(g) 2NO.() If N,O, is introduced into an evacuated flask at a pressure of 20mm Hg, how many seconds are required for pressure of No, to reach 10 mm Hg? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The half-life for first order decomposition of N, O, is 1.4 x 10-5s. NO.(g) 2NO.() If N,O, is introduced into an evacuated flask at a pressure of 20mm Hg, how many seconds are required for pressure of No, to reach 10 mm Hg?.
The half-life for first order decomposition of N, O, is 1.4 x 10-5s. NO.(g) 2NO.() If N,O, is introduced into an evacuated flask at a pressure of 20mm Hg, how many seconds are required for pressure of No, to reach 10 mm Hg? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The half-life for first order decomposition of N, O, is 1.4 x 10-5s. NO.(g) 2NO.() If N,O, is introduced into an evacuated flask at a pressure of 20mm Hg, how many seconds are required for pressure of No, to reach 10 mm Hg? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The half-life for first order decomposition of N, O, is 1.4 x 10-5s. NO.(g) 2NO.() If N,O, is introduced into an evacuated flask at a pressure of 20mm Hg, how many seconds are required for pressure of No, to reach 10 mm Hg?.
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