A titanium bicycle frame displaces 0.314 L of water and has a mass of 1.41 kg. What is the density of the titanium in g/cm³?

검증된 단계별 안내

Convert the volume from liters to cubic centimeters. Since 1 L = 1000 cm³, multiply the volume in liters by 1000 to get the volume in cm³.

Convert the mass from kilograms to grams. Since 1 kg = 1000 g, multiply the mass in kilograms by 1000 to get the mass in grams.

Use the formula for density: \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \).

Substitute the mass in grams and the volume in cm³ into the density formula.

Simplify the expression to find the density in g/cm³.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Density

Density is defined as the mass of an object divided by its volume. It is typically expressed in grams per cubic centimeter (g/cm³) in the context of solids and liquids. Understanding density is crucial for determining how much mass is contained in a given volume, which is essential for solving problems related to buoyancy and material properties.

Volume Displacement

Volume displacement refers to the amount of fluid that is displaced by an object when it is submerged. In this context, the volume of water displaced by the titanium bicycle frame is used to determine its volume. This principle is based on Archimedes' principle, which states that the volume of the displaced fluid is equal to the volume of the submerged part of the object.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this problem, it is necessary to convert the volume from liters to cubic centimeters (cm³) since 1 L is equivalent to 1000 cm³. Mastery of unit conversion is essential in chemistry to ensure that calculations are accurate and consistent across different measurement systems.

A titanium bicycle frame displaces 0.314 L of water and has a mass of 1.41 kg. What is the density of the titanium in g/cm3?