(a) What amount of heat (in joules) is required to raise the temperature of 1 g of water by 1 kelvin? (b) What amount of heat (in joules) is required to raise the temperature of 1 mole of water by 1 kelvin?

검증된 단계별 안내

Step 1: Understand the concept of specific heat capacity. The specific heat capacity of a substance is the amount of heat required to raise the temperature of 1 gram of the substance by 1 degree Celsius (or 1 Kelvin). For water, this value is approximately 4.18 J/g·K.

Step 2: Calculate the heat required for 1 gram of water. Since the specific heat capacity of water is 4.18 J/g·K, the amount of heat required to raise the temperature of 1 gram of water by 1 Kelvin is simply 4.18 joules.

Step 3: Determine the molar mass of water. Water (H₂O) has a molar mass of approximately 18.02 g/mol. This means 1 mole of water weighs 18.02 grams.

Step 4: Calculate the heat required for 1 mole of water. To find the heat required to raise the temperature of 1 mole of water by 1 Kelvin, multiply the specific heat capacity by the molar mass of water: \( q = 4.18 \text{ J/g·K} \times 18.02 \text{ g/mol} \).

Step 5: Simplify the expression to find the total heat in joules for 1 mole of water. This will give you the amount of heat required to raise the temperature of 1 mole of water by 1 Kelvin.

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.

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 (or one Kelvin). For water, this value is approximately 4.18 J/g·K, meaning it takes 4.18 joules to increase the temperature of 1 gram of water by 1 Kelvin. This concept is crucial for calculating heat transfer in thermal processes.

Molar Heat Capacity

Molar heat capacity refers to the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius (or one Kelvin). For water, the molar heat capacity is about 75.3 J/mol·K. This concept is important when dealing with larger quantities of a substance, as it allows for calculations based on moles rather than mass.

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 the question, it involves calculating the heat required to change the temperature of water, which can be determined using the specific or molar heat capacities. Understanding heat transfer is essential for solving problems related to thermal energy changes in substances.