Answer
Verified
409.2k+ views
Hint: The specific heat of any substance is the heat required by one gram of that substance in order to raise the temperature of that substance by one unit.
The formula to calculate the heat of a system establishes a relationship between the change in temperature of the system and the specific heat of the system.
Complete solution:
In order to solve this question we will need a formula or an equation, which connects the specific heat of a substance with the temperature. So we will be using the formula,
\[q=m\times c\times \Delta T\]
Where, $q$ is the amount of heat given to the system, $m$ represents the mass of the sample, $c$ signifies the specific heat of the wood under consideration and $\Delta T$ is the change observed in temperature, which is the difference in temperature of initial and final value.
Specific heat of a substance can be defined as the amount of heat required by one gram of the substance in order to raise the temperature by one unit. Now if we consider the value given in the question, we need $2.03J$ of heat in order to raise the temperature of one gram wood by one degree Celsius. Now we will calculate the amount of heat required to raise the temperature of $550g$ of wood. So, we will substitute the values on the above equation, and we get,
$q=550g\times 2.03\dfrac{J}{g{}^\circ C}[10-(-15)]{}^\circ C$
Now, we will solve this equation, and we get, $27912.5J$. As we know that it is necessary to express the quantities in significant figures, and also we will express it in the units of kilojoule.
So we get, $q=28kJ$ which is the required answer.
Note: The quantity of heat should be preferably expressed in kilojoules, rather than joules when the value is high. The heat of a substance can be calculated by using the value of specific heat and the change in temperature along with the amount of substance, by using a direct formula which relates all these quantities together.
The formula to calculate the heat of a system establishes a relationship between the change in temperature of the system and the specific heat of the system.
Complete solution:
In order to solve this question we will need a formula or an equation, which connects the specific heat of a substance with the temperature. So we will be using the formula,
\[q=m\times c\times \Delta T\]
Where, $q$ is the amount of heat given to the system, $m$ represents the mass of the sample, $c$ signifies the specific heat of the wood under consideration and $\Delta T$ is the change observed in temperature, which is the difference in temperature of initial and final value.
Specific heat of a substance can be defined as the amount of heat required by one gram of the substance in order to raise the temperature by one unit. Now if we consider the value given in the question, we need $2.03J$ of heat in order to raise the temperature of one gram wood by one degree Celsius. Now we will calculate the amount of heat required to raise the temperature of $550g$ of wood. So, we will substitute the values on the above equation, and we get,
$q=550g\times 2.03\dfrac{J}{g{}^\circ C}[10-(-15)]{}^\circ C$
Now, we will solve this equation, and we get, $27912.5J$. As we know that it is necessary to express the quantities in significant figures, and also we will express it in the units of kilojoule.
So we get, $q=28kJ$ which is the required answer.
Note: The quantity of heat should be preferably expressed in kilojoules, rather than joules when the value is high. The heat of a substance can be calculated by using the value of specific heat and the change in temperature along with the amount of substance, by using a direct formula which relates all these quantities together.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE