How much heat is needed to melt 26.50 kg of silver that is initially at 25°C?

검증된 단계별 안내

Determine the heat required to raise the temperature of the silver from its initial temperature (25°C) to its melting point. Use the formula:

Q = m c ∆ T

, where

m

is the mass of the silver,

c

is the specific heat capacity of silver, and

∆ T

is the temperature change.

Look up the specific heat capacity of silver (

c

) and its melting point. For silver,

c

is approximately 235 J/(kg·°C), and its melting point is 961°C.

Calculate the temperature change

∆ T

by subtracting the initial temperature (25°C) from the melting point (961°C). Substitute the values into the formula to find the heat required to raise the temperature.

Determine the heat required to melt the silver once it reaches its melting point. Use the formula:

Q = m L

, where

L

is the latent heat of fusion for silver. For silver,

L

is approximately 88,000 J/kg.

Add the heat required to raise the temperature to the melting point and the heat required to melt the silver. This total is the amount of heat needed to melt 26.50 kg of silver starting at 25°C.

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.

Heat Transfer

Heat transfer is the process of thermal energy moving from one object or substance to another due to a temperature difference. In the context of melting silver, heat is absorbed by the silver to overcome the forces holding its solid structure together, transitioning it into a liquid state. This process is governed by the principles of thermodynamics.

Latent Heat of Fusion

Latent heat of fusion is the amount of heat required to change a substance from solid to liquid at its melting point without changing its temperature. For silver, this value is essential to calculate the total heat needed to melt the given mass. It reflects the energy needed to break the bonds between silver atoms in the solid state.

Specific Heat Capacity

Specific heat capacity is the amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius. In this scenario, it is important to first raise the temperature of silver from its initial temperature (25°C) to its melting point (961.8°C) before melting it. This concept helps in calculating the total heat required for the entire process.