   # Hydrogen gives off 120. J/g of energy when burned in oxygen, and methane gives off 50. J/g under the same circumstances. If a mixture of 5.0 g hydrogen and 10. g methane is burned, and the heat released is transferred to 50.0 g water at 25.0ºC, what final temperature will be reached by the water? ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 7, Problem 56E
Textbook Problem
17 views

## Hydrogen gives off 120. J/g of energy when burned in oxygen, and methane gives off 50. J/g under the same circumstances. If a mixture of 5.0 g hydrogen and 10. g methane is burned, and the heat released is transferred to 50.0 g water at 25.0ºC, what final temperature will be reached by the water?

Interpretation Introduction

Interpretation: The final temperature water mixture to be determined.

Concept Introduction: The heat capacity C is defined as the ratio of heat absorbed to the temperature change. It can be given by,

C = heat absorbedtemperature change

• Require heat of an one gram of substance raise to its temperature by one degree Celsius is called specific heat capacity.

Specific heat capacity = Absorbed heat (J) × Temperature change(c) × mass of substance (g)...(1)

For the above equation heat is:

q = S×M×T.... (1)

q is heat J

M is mass of sample (g)

S is specific heat capacity (J/°C)

T is temperature change ( °C )

For the process no heat loss to the surroundings means then the heat is

(Absorbed) S×M×ΔT=-S×M×ΔT (released)..... (3)

### Explanation of Solution

Explanation

given data:

Energy given by hydrogen is 120. J/g

Energy given by methane is 120. J/g

Mass of water is 50.0 g

Initial temperature of water is 25.0 °C

Specific heat capacity of water is 4.18J /°C.g .

To determine: Final temperature of the water.

Energy given by hydrogen (qH) + Energy given by methane (qmethane) = Energy gained by water   (qw)...... (4)

5.0 g ×120 J/g H+10 g×50 J/CH4 g = 1100 J                                             1100 J = 4.18J /C.g×50

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
1L= ________dm3= ________cm3= ________mL

Introductory Chemistry: A Foundation

An important national food and nutrient intake survey, called What We Eat in America, is part of a. NHANES. b. ...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Why did classical astronomers conclude that Earth had to be motionless?

Horizons: Exploring the Universe (MindTap Course List)

Which class has the largest individuals? Which is the most economically important?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

Two stars of masses M and m, separated by a distance d, revolve in circular orbits about their center of mass (...

Physics for Scientists and Engineers, Technology Update (No access codes included) 