Two substances A and B, initially at different temperatures,...

Name: Problem 137, Chapter 9: Chemistry: Structure and Properties
Uploaded: 2019-08-21T15:15:23-08:00
Duration: 5 min 59 s
Channel: Kevin Chimex
Description: Two substances A and B, initially at different temperatures, are thermally isolated from their surroundings and allowed to come into thermal contact. The mass of substance A is twice the mass of substance B, but the specific heat capacity of substance B is four times the specific heat capacity of substance A. Which substance will undergo a larger change in temperature?

Two substances A and B, initially at different temperatures, are thermally isolated from their surroundings and allowed to come into thermal contact. The mass of substance A is twice the mass of substance B, but the specific heat capacity of substance B is four times the specific heat capacity of substance A. Which substance will undergo a larger change in temperature?

Key Concepts

Conservation of Energy

In a closed system where heat exchange occurs between substances, the total energy remains constant. This means that the heat lost by one substance must be equal to the heat gained by the other. This principle is essential for analyzing how energy is transferred between substances at different temperatures until they reach equilibrium.

Specific Heat Capacity

This is the amount of heat energy required to change the temperature of a unit mass of a substance by one degree. It fundamentally determines how much the temperature of a substance will change when it absorbs or loses a given amount of heat, making it key for understanding temperature variation in heat exchange processes.

Thermal Equilibrium

When two substances are in thermal contact, they exchange heat until they reach a common final temperature. This state, known as thermal equilibrium, embodies the balance of heat lost and gained between the substances and is governed by both their masses and specific heat capacities.

Thermal Mass

Thermal mass refers to the product of a substance's mass and its specific heat capacity, quantifying its ability to store thermal energy. A substance with a higher thermal mass will undergo a smaller temperature change for a given amount of heat exchange compared to a substance with a lower thermal mass.

Transcript

00:01 So in this question we are told about two substances, a and b.

00:04 So we have a and we have b.

00:07 And they initially have different temperature.

00:11 Let's say initial temperature of this is x.

00:15 Then initial temperature of this is y, but it's t1 v, g .i .b.

00:22 G .i .b.

00:23 J.

00:24 High hade.

00:34 And the atomic isolated from the surrounding, allowed to come in contents with each other.

00:40 And the mass of substance a is two times the mass of substance b.

00:46 So mass of a is equal to 2b and mass of b is a positive b.

01:03 Well, let me say better description of the mass of a is across to 2 and b, two times mass of b and mass of b is equal to mb.

01:22 Just basic description but the specific capacity of b is four times the specific capacity of b so the specific capacity of b c b is four times the specific capacity of hid so c a is equal to c a so which of the substance we undergo a large change and temperature okay so let's see how do we go about this so looking at this, looking at that value for the specific heat capacity, okay? the specific heat capacity of b is four times the specific heat capacity of a.

02:24 That means that we need four times the amount of energy needed to raise the temperature you let's raise the temperature of 1 gram of b of a by 1 degrees celsius in b.

02:59 And the mass of b is also, let's assume that the mass of a is maybe, let's assume mass of b and b is 1 gram, so the mass of a is maybe, let's assume mass of b and b is 1 gram, so the mass of a will be 2 .0 grams.

03:13 Okay, so that means that we will need more energy to raise the temperature of b...

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