
The reaction X → Y shown here follows first-order kinetics. Initially different amounts of X molecules are placed in three equal-volume containers at the same temperature. (a) What are the relative
(a)

Interpretation:
The relative rate of the reaction in the given three containers has to be determined.
Concept introduction:
Rate of the reaction is the change in the concentration of reactant or a product with time.
Rate equation for the general reaction
Explanation of Solution
The given first order reaction is,
For first order reaction,
X molecules are placed in three equal-volume containers at the same temperature.
Fig (1)
The relative rates of the reaction in the given three containers can be determined as follows,
For convenience, we can use the number of molecules to represent the concentration. Therefore, the relative rates of reaction for the three containers are,
To get the relative rates dividing each rate by
Therefore
Relative rate of the reaction in three containers are
(b)

Interpretation:
To determine the relative rates be affected if the volume of the each container were doubled
Concept introduction:
Rate of the reaction is the change in the concentration of reactant or a product with time.
Rate equation for the general reaction
Explanation of Solution
The given first order reaction is,
For first order reaction,
X molecules are placed in three equal-volume containers at the same temperature.
Fig (1)
The relative rates of the reaction in the given three containers can be determined as follows,
For convenience, we can use the number of molecules to represent the concentration. Therefore, the relative rates of reaction for the three containers are,
To get the relative rates dividing each rate by
Therefore
Relative rate of the reaction in three containers are
The relative rates would be unaffected if the volume of the each container were doubled. Therefore, the relative rates between the three containers would remain same and so the actual rate would decrease by
(c)

Interpretation:
The relative half-life of the reactions in
Concept introduction:
Rate of the reaction is the change in the concentration of reactant or a product with time.
Rate equation for the general reaction
Half-life is the time required for one half of a reactant to react.
For first order reaction
Half-life for a first order reaction is
Explanation of Solution
The given first order reaction is,
For first order reaction,
X molecules are placed in three equal-volume containers at the same temperature.
Fig (1)
We know that, the half-life of a first order reaction is independent on substrate (reactant) concentration; it does not depend on substrate concentration.
Therefore, the relative half-life of the reactions in
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Chapter 13 Solutions
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- 9arrow_forwardalekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3jH-IQs_pBanHhvlTCeeBZbufu BYTI0Hz7m7D3ZS18w-nDB10538ZsAtmorZoFusYj2Xu9b78gZo- O States of Matter Sketching a described thermodynamic change on a phase diagram 0/5 The pressure on a sample of pure X held at 47. °C and 0.88 atm is increased until the sample condenses. The pressure is then held constant and the temperature is decreased by 82. °C. On the phase diagram below draw a path that shows this set of changes. pressure (atm) 3- 200 temperature (K) Explanation Chick Q Sowncharrow_forward0+ aleksog/x/lsl.exe/1ou-lgNgkr7j8P3H-IQs pBaHhviTCeeBZbufuBYTOHz7m7D3ZStEPTBSB3u9bsp3Da pl19qomOXLhvWbH9wmXW5zm O States of Matter Sketching a described thermodynamic change on a phase diagram 0/5 Gab The temperature on a sample of pure X held at 0.75 atm and -229. °C is increased until the sample sublimes. The temperature is then held constant and the pressure is decreased by 0.50 atm. On the phase diagram below draw a path that shows this set of changes. F3 pressure (atm) 0- 0 200 Explanation temperature (K) Check F4 F5 ☀+ Q Search Chill Will an 9 ENG F6 F7 F8 F9 8 Delete F10 F11 F12 Insert PrtSc 114 d Ararrow_forward
- x + LEKS: Using a phase diagram a X n/alekscgi/x/lsl.exe/10_u-IgNsikr7j8P3jH-IQs_pBan HhvlTCeeBZbufu BYTI0Hz7m7D3ZcHYUt80XL-5alyVpw ○ States of Matter Using a phase diagram to find a phase transition temperature or pressure Use the phase diagram of Substance X below to find the melting point of X when the pressure above the solid is 1.1 atm. pressure (atm) 16 08- solid liquid- 0 200 400 gas 600 temperature (K) Note: your answer must be within 25 °C of the exact answer to be graded correct. × 5arrow_forwardS: Using a phase diagram leksogi/x/sl.exe/1ou-IgNs kr 7j8P3jH-IQs_pBan HhvTCeeBZbufuBYTI0Hz7m7D3ZdHYU+80XL-5alyVp O States of Matter Using a phase diagram to find a phase transition temperature or pressure se the phase diagram of Substance X below to find the boiling point of X when the pressure on the liquid is 1.6 atm. pressure (atm) 32- 16- solid liquid 0. gas 100 200 temperature (K) 300 Note: your answer must be within 12.5 °C of the exact answer to be graded correct. 10 Explanation Check § Q Search J 2025 McGraw Hill LLC. All Rights Researrow_forward151.2 254.8 85.9 199.6 241.4 87.6 242.5 186.4 155.8 257.1 242.9 253.3 256.0 216.6 108.7 239.0 149.7 236.4 152.1 222.7 148.7 278.2 268.7 234.4 262.7 283.2 143.6 QUESTION: Using this group of data on salt reduced tomato sauce concentration readings answer the following questions: 1. 95% Cl Confidence Interval (mmol/L) 2. [Na+] (mg/100 mL) 3. 95% Na+ Confidence Interval (mg/100 mL)arrow_forward
- Results Search Results Best Free Coursehero Unloc xb Success Confirmation of Q x O Google Pas alekscgi/x/lsl.exe/1o_u-IgNslkr 7j8P3jH-IQs_pBanHhvlTCeeBZbufu BYTI0Hz7m7D3ZcHYUt80XL-5alyVpwDXM TEZayFYCavJ17dZtpxbFD0Qggd1J O States of Matter Using a phase diagram to find a phase transition temperature or pressure Gabr 3/5 he pressure above a pure sample of solid Substance X at 101. °C is lowered. At what pressure will the sample sublime? Use the phase diagram of X below to nd your answer. pressure (atm) 24- 12 solid liquid gas 200 400 temperature (K) 600 ote: your answer must be within 0.15 atm of the exact answer to be graded correct. atm Thanation Check © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center I Q Search L³ ملةarrow_forward301.7 348.9 193.7 308.6 339.5 160.6 337.7 464.7 223.5 370.5 326.6 327.5 336.1 317.9 203.8 329.8 221.9 331.7 211.7 309.6 223.4 353.7 334.6 305.6 340.0 304.3 244.7 QUESTION: Using this group of data on regular tomato sauce concentration readings answer the following questions: 1. 95% Cl Confidence Interval (mmol/L) 2. [Na+] (mg/100 mL) 3. 95% Na+ Confidence Interval (mg/100 mL)arrow_forwardSearch Results Search Results Best Free Coursehero Unlo x b Success Confirmation of Q aleks.com/alekscgi/x/sl.exe/10_u-lgNslkr7j8P3jH-IQs_pBan HhvlTCeeBZbufu BYTIOHz7m7D3ZcHYUt80XL-5alyVpwDXM TEZayFYCav States of Matter Using a phase diagram to find a phase transition temperature or pressure Use the phase diagram of Substance X below to find the temperature at which X turns to a gas, if the pressure above the solid is 3.7 atm. pressure (atm) 0. 32- 16 solid liquid gas 200 temperature (K) Note: your answer must be within 20 °C of the exact answer to be graded correct. Дос Xarrow_forward
- Consider the reaction below to answer the following questions: Acetoacetic ester can be prepared by the Claisen self-condensation reaction of ethyl acetate. 1. NaOEt, EtOH H&C OCH CH3 2 H30 H3C CH2 OCH2CH3 A. Write the complete stepwise mechanism for this reaction. Show all electron flow with arrows and draw all intermediate structures. B. Ethyl acetate can be prepared from ethanol as the only organic starting material. Show all reagents and structures for all intermediates in this preparation. C. Give the structures of the ester precursors for the following Claisen condensation product and formulate the reaction. OEtarrow_forwardUse the phase diagram of Substance X below to find the temperature at which X turns to a gas, if the pressure above the solid is 3.7 atm. pressure (atm) 32 16 solid liquid gas 0 0 200 temperature (K) Note: your answer must be within 20 °C of the exact answer to be graded correct. Шос ☑ كarrow_forwardStarting from bromoethane, how could you prepare the following compounds: a. Ethanol. b. Acetaldehyde f. Acetone. e. 2-Propanol i. Acetoacetic ester. d. 2-Bromoacetic acid. c. Acetic acid g. Acetamide. j. Ethylmalonate k. Gama ketoacid. h. Ethyl magnesium bromide.arrow_forward
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