/*! 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

Give the name and symbol of the prefixes used with SI units to indicate multiplication by the following exact quantities.

a. 103

b. 10-2

c. 0.1

d. 10-3

e. 1,000,000

f. 0.000001

How does a homogeneous mixture differ from a pure substance? How are they similar?

Explain the difference between extensive properties and intensive properties.

Identify each of the following statements as being most similar to a hypothesis, a law, or a theory. Explain your reasoning.

(a) Falling barometric pressure precedes the onset of bad weather.

(b) All life on earth has evolved from a common, primitive organism through the process of natural selection.

(c) My truck鈥檚 gas mileage has dropped significantly, probably because it鈥檚 due for a tune-up

As stated in the text, convincing examples that demonstrate the law of conservation of matter outside of the laboratory are few and far between. Indicate whether the mass would increase, decrease, or stay the same for the following scenarios where chemical reactions take place:

(a) Exactly one pound of bread dough is placed in a baking tin. The dough is cooked in an oven at 350 掳F releasing a wonderful aroma of freshly baked bread during the cooking process. Is the mass of the baked loaf less than, greater than, or the same as the one pound of original dough? Explain.

(b) When magnesium burns in air a white flaky ash of magnesium oxide is produced. Is the mass of magnesium oxide less than, greater than, or the same as the original piece of magnesium? Explain.

(c) Antoine Lavoisier, the French scientist credited with first stating the law of conservation of matter, heated a mixture of tin and air in a sealed flask to produce tin oxide. Did the mass of the sealed flask and contents decrease, increase, or remain the same after the heating?

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.