Ch.1 - Introduction: Matter, Energy, and Measurement

Brown - Chemistry: The Central Science 15th Edition

Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Not the one you use?Change textbook

Brown 15th Edition

Ch.1 - Introduction: Matter, Energy, and Measurement

Problem 57d

Chapter 1, Problem 57d

(d) Bamboo can grow up to 60.0 cm/day. Convert this growth rate into inches per hour.

Verified step by step guidance

Identify the conversion factors needed: 1 inch = 2.54 cm and 1 day = 24 hours.

Start with the given growth rate: 60.0 cm/day.

Convert centimeters to inches using the conversion factor: \( \frac{1 \text{ inch}}{2.54 \text{ cm}} \).

Convert days to hours using the conversion factor: \( \frac{1 \text{ day}}{24 \text{ hours}} \).

Combine the conversions to find the growth rate in inches per hour: \( 60.0 \text{ cm/day} \times \frac{1 \text{ inch}}{2.54 \text{ cm}} \times \frac{1 \text{ day}}{24 \text{ hours}} \).

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. In this case, we need to convert centimeters to inches and days to hours. Understanding the conversion factors, such as 1 inch equals 2.54 centimeters and 1 day equals 24 hours, is essential for accurate calculations.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one unit of measurement to another by multiplying by conversion factors. This method ensures that units cancel appropriately, leading to the desired unit in the final answer. It is particularly useful in problems involving multiple unit conversions, as seen in this question.

Rate of Growth

The rate of growth refers to how quickly a quantity increases over time. In this context, bamboo's growth rate is given in centimeters per day, which needs to be expressed in inches per hour. Understanding how to manipulate these rates is crucial for solving problems related to growth and time.

Recommended video:

Guided course

01:30

Instantaneous Rate

Related Practice

Textbook Question

(b) The lung capacity of the blue whale is 5.0×10³ L. Convert this volume into gallons.

views

Textbook Question

Determine the appropriate conversion factors for the following: d. ft³ to L

Textbook Question

(a) The speed of light in a vacuum is 2.998×10⁸ m/s. Calculate its speed in miles per hour.

views

Textbook Question

(c) The Vehicle Assembly Building at the Kennedy Space Center in Florida has a volume of 3,666,500 m³. Convert this volume to liters and express the result in standard exponential notation.

views

Textbook Question

a. A bumblebee flies with a ground speed of 15.2 m/s. Calculate its speed in km/h.

Textbook Question

(b) The Sears Tower in Chicago is 1454 ft tall. Calculate its height in meters.

views