Question on heat & temperature

In summary, a calorimeter containing 70g of oil at 30oC has a piece of brass with a mass of 125g heated to 100oC and then placed in the calorimeter. The final temperature of the mixture is 44oC. To calculate the specific heat capacity of the calorimeter with a mass of 100g, we use the equation Q=mcθ and find the heat gained by the calorimeter. Using the given values for the specific heat capacities of oil and brass, we can find the temperature change and heat gained by each substance. We then equate the heat gained by the brass to the sum of the heat gained by the oil and calorimeter to find the specific heat capacity of the
  • #1
kai92
9
0

Homework Statement



A calorimeter contains of 70g oils at temperature of 30oC.If a piece of brass with a mass of 125g heat up until 100oC.After that a brass put in that calorimeter and final temperature of the mixed is 44oC.Calculate the specific heat capacity (c) of the calorimeter if its mass is 100g.(Given c of oil =1.52Jg-1oC-1 & c of brass =0.42Jg-1oC-1)

Homework Equations



Q=mcθ

The Attempt at a Solution



Qoil=70(1.52)(14)=1489.6J
Qbrass=125(0.42)(56)=2940J

Then I stuck.How to find temperature & Q of calorimeter?
 
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  • #2
Qoil=70(1.52)(14)=1489.6J
Qbrass=125(0.42)(56)=2940J

Find heat gained by the calorimeter. And then

Qbrass = Qoil + Qcal.
 
  • #3
Thanks for the help,but just to make sure,is temperature change for calorimeter=44-30=14?
 
  • #4
kai92 said:
Thanks for the help,but just to make sure,is temperature change for calorimeter=44-30=14?

Yes. Oil is in the calorimeter. So the change in temperature of oil and the calorimeter is the same.
 
  • #5




To find the temperature and heat of the calorimeter, we can use the principle of conservation of energy. The heat lost by the brass (Qbrass) is equal to the heat gained by the oil (Qoil) and the calorimeter (Qcal). This can be expressed as:

Qbrass = Qoil + Qcal

We already know the values of Qbrass and Qoil, so we can rearrange the equation to solve for Qcal:

Qcal = Qbrass - Qoil

Substituting the values, we get:

Qcal = 2940J - 1489.6J = 1450.4J

Now, to find the specific heat capacity of the calorimeter (c), we can use the formula Q=mcθ. Rearranging the equation, we get:

c = Q/(mθ)

Substituting the values, we get:

c = 1450.4J/(100g * (44oC - 30oC)) = 2.61Jg-1oC-1

Therefore, the specific heat capacity of the calorimeter is 2.61Jg-1oC-1.
 

1. What is the difference between heat and temperature?

Heat and temperature are often used interchangeably, but they are actually two different concepts. Heat is a form of energy that flows from a hotter object to a cooler object. Temperature, on the other hand, is a measure of the average kinetic energy of the particles in a substance. In other words, heat is the transfer of energy, while temperature is a measure of the amount of energy in a substance.

2. How is heat measured?

Heat is measured in units of energy, such as joules or calories. The most commonly used unit of heat is the calorie, which is defined as the amount of heat needed to raise the temperature of 1 gram of water by 1 degree Celsius. In scientific settings, heat is often measured in joules, which is the standard unit of energy in the International System of Units (SI).

3. What is the relationship between heat and temperature?

Heat and temperature are closely related. As mentioned before, heat is the transfer of energy from a hotter object to a cooler object. This transfer of energy causes the particles in the cooler object to gain kinetic energy, which results in an increase in temperature. In other words, heat causes a change in temperature.

4. How does heat transfer occur?

Heat can be transferred in three ways: conduction, convection, and radiation. Conduction is the transfer of heat through direct contact between two objects. Convection is the transfer of heat through the movement of fluids, such as air or water. Radiation is the transfer of heat through electromagnetic waves, like the heat we receive from the sun.

5. What factors affect the amount of heat transferred?

The amount of heat transferred depends on several factors, including the temperature difference between the two objects, the type of material the objects are made of, and the surface area of the objects. The rate of heat transfer can also be affected by the presence of insulating materials, such as air or foam, which can slow down or prevent the transfer of heat.

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