The number of chirps in 8 sec for the given temperatures is to be calculated. A graph showing the proportionality between the number of chirps and the rate constant of a cricket’s chirps for a biological reaction is to be drawn. The activation energy of this biological reaction and the number of chirps at a temperature of 40 ° C are to be determined. Concept Information: A chemical kinetics is the branch of science that deals with the speed of the chemical reaction . Activation energy is the minimum energy required to initiate a reaction. The Arrhenius theory is a combination of activation energy and Boltzmann Distribution to determine the effective number of collisions in the reaction.

Question

After sitting on a shelf for a while, a can of soda at a room temperature (69°F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 37°F. Newton's Law of Cooling explains that the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator, as given by the formula below: T = Ta + (To – Ta)e¬kt the temperature surrounding the object To = the initial temperature of the object t = the time in minutes the temperature of the object after t minutes k = decay constant T The can of soda reaches the temperature of 54°F after 40 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 95 minutes. Enter only the final temperature into the input box.

Answer 1

Question

Chapter 13, Problem 123RQ

Interpretation Introduction

Interpretation:

The number of chirps in 8 sec for the given temperatures is to be calculated. A graph showing the proportionality between the number of chirps and the rate constant of a cricket’s chirps for a biological reaction is to be drawn. The activation energy of this biological reaction and the number of chirps at a temperature of 40 °C are to be determined.

Concept Information:

A chemical kinetics is the branch of science that deals with the speed of the chemical reaction.

Activation energy is the minimum energy required to initiate a reaction.

The Arrhenius theory is a combination of activation energy and Boltzmann Distribution to determine the effective number of collisions in the reaction.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Students have asked these similar questions

After sitting on a shelf for a while, a can of soda at a room temperature (69°F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 37°F. Newton's Law of Cooling explains that the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator, as given by the formula below: T = Ta + (To – Ta)e¬kt the temperature surrounding the object To = the initial temperature of the object t = the time in minutes the temperature of the object after t minutes k = decay constant T The can of soda reaches the temperature of 54°F after 40 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 95 minutes. Enter only the final temperature into the input box.

A graduated cylinder (measuring cylinder) contains 27 mL of water at 25 °C and the mass of the water is 26.92 g. A sphere of iron with a diameter of 18.0 mm is added to the water in the graduated cylinder. The total mass of the water and the iron is 50.92 g. (The volume of a sphere is given by the expression: V = (4/3)ar³). (i) Calculate the total volume of the water and the iron in the graduated cylinder. (ii) Determine the density of iron at 25 °C? Show your calculations. (iii) Without doing any calculations, what do you think the density of 48.00 g of iron is at the same temperature? Explain your answer.

While being driven from Philadelphia to Atlanta, a distance of about 1250 km, a 2014 Lamborghini Aventador Roadster uses 213 L gasoline.(a) What (average) fuel economy, in miles per gallon, did the Roadster get during this trip?(b) If gasoline costs $3.80 per gallon, what was the fuel cost for this trip?