/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Question 14 E A 500-mL bottle of water at room... [FREE SOLUTION] | 91影视

91影视

A 500-mL bottle of water at room temperature and a 2-L bottle of water at the same temperature were placed in a refrigerator. After 30 minutes, the 500-mL bottle of water had cooled to the temperature of the refrigerator. An hour later, the 2-L of water had cooled to the same temperature. When asked which sample of water lost the most heat, one student replied that both bottles lost the same amount of heat because they started at the same temperature and finished at the same temperature. A second student thought that the 2-L bottle of water lost more heat because there was more water. A third student believed that the 500-mL bottle of water lost more heat because it cooled more quickly. A fourth student thought that it was not possible to tell because we do not know the initial temperature and the final temperature of the water. Indicate which of these answers is correct and describe the error in each of the other answers.

Short Answer

Expert verified

The bottle of water containing 2L of water would lose more heat.

The explanation given by the second student is the most appropriate.

Step by step solution

01

Given information

The heat required to raise the temperature of a substance is given by the formula Q = C \( \times \)m\( \times \)\(\Delta \)T,where 鈥淐鈥 is the specific heat of the substance, 鈥渕鈥 is the mass of the substance, and 鈥溾垎T鈥 is the change in the temperature of the substance.

02

Explanation by the first student

Since both the bottles contain water, the specific capacity of the water would be the same, which is 4.186 \(\frac{J}{{{g^0}C}}\).

The change in temperatures in both cases is also the same.

But the mass of the water is different. So the heat loss would be different in both cases. Therefore, the explanation given by the first student is incorrect.

A 2-L bottle of water loses more heat because there is more water. So, the explanation given by the second student is correct.

03

Explanation by the third student

The mass of the water is greater for a bottle containing 2L of water. Since the mass of water is density times volume, the greater the volume, the greater its mass.

So, the explanation given by the third student is also incorrect.

04

Explanation by the fourth student

The initial temperature is room temperature, and the final temperature is the refrigerator鈥檚 temperature. Since both the bottles are at the same temperature, the change in temperature in both cases is the same.

So, the explanation given by the fourth student is also incorrect.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Write conversion factors (as ratios) for the number of:

(a) kilometers in 1 mile

(b) liters in 1 cubic foot

(c) grams in 1 ounce

Perform the following calculations and report each answer with the correct number of significant figures.

(a) 62.8 脳 34

(b) 0.147 + 0.0066 + 0.012

(c) 38 脳 95 脳 1.792

(d) 15 鈥 0.15 鈥 0.6155

(e) 8.78 脳 (0.0500/ 0.478)

(f) 140 + 7.68 + 0.014

(g) 28.7 鈥 0.0483

(h) (88.5 鈭 87.57)/ 45.13

Yeast converts glucose to ethanol and carbon dioxide during anaerobic fermentation as depicted in the simple chemical equation here:

\({\rm{Glucose}} \to {\rm{Ethanol + Carbon Dioxide}}\)

(a) If\(200.0g\)of glucose is fully converted, what will be the total mass of ethanol and carbon dioxide produced?

(b) If the fermentation is carried out in an open container, would you expect the mass of the container and contents after fermentation to be less than, greater than, or the same as the mass of the container and contents before fermentation? Explain.

(c) If\(99.7g\)of carbon dioxide is produced, what mass of ethanol is produced?

In glycolysis, the reaction of glucose (Glu) to form glucose-6-phosphate (G6P) requires ATP to be present as described by the following equation:

Glu + ATP 鈫 G6P + ADP

螖骋298 = -17kJ

In this process, ATP becomes ADP summarized by the following equation:

ATP 鈫 ADP 螖骋298 = -30kJ

Determine the standard free energy change for the following reaction, and explain why ATP is necessary to drive this process:

Glu 鈫 G6P螖骋298 = ?

The following quantities were reported on the labels of commercial products. Determine the number of significant figures in each.

(a) 0.0055 g active ingredients

(b) 12 tablets

(c) 3% hydrogen peroxide

(d) 5.5 ounces

(e) 473 mL

(f) 1.75% bismuth

(g) 0.001% phosphoric acid

(h) 99.80% inert ingredients

See all solutions

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.