Answer
427.5k+ views
Hint: We need to know the specific heat of water in order for us to determine the amount of heat required to raise the temperature of a given mass of water by 1 degree as can be seen in the formula.
Formula used:
Specific heat for a substance is given by:
$c = \dfrac{\Delta Q}{M \Delta T}$
where Q is used to denote heat, T is for temperature and M is for mass.
Complete answer:
The specific heat of a substance is defined as the amount of heat required to raise the temperature of unit mass of the substance through one degree. As we are given 1 g of mass of water and the temperature has to be raised by 1$^{\circ}$ C, we will get the amount of heat to be numerically equal to specific heat:
$\implies c = \Delta Q$.
Now, in c.g.s. units, the specific heat of water is c = 1 cal $g^{-1 \circ} C^{-1}$. Therefore the heat required will be 1 calorie.
Therefore, the heat required to raise the temperature of 1 g of water by 1$^{\circ}$ C is 1 cal.
In MKS units, 1 calorie = 4.186 joule.
Additional information:
The MKS unit for specific heat is J $kg^{-1} K^{-1}$ whereas c.g.s. unit is cal $g^{-1 \circ} C^{-1}$. To make a conversion of specific heat from c.g.s. to MKS, one must first use the relation:
$1 cal g^{-1 \circ} C^{-1} = 4200 J kg^{-1 \circ} C^{-1}$.
Then one must convert the Celsius temperature to Kelvins by using:
T (in K) = t( in $^{\circ}$ C) + 273.
273 K marks zero degree temperature in Celsius scale.
Note:
Here we could have used the definition of heat capacity or thermal capacity instead of specific heat too. By definition the heat capacity of a body is defined as the amount of heat required to raise the temperature of the body by 1 degree. But the answer would have taken a longer route then. Therefore one should not confuse specific heat with heat capacity for the question. The answer simply lies in the definition of specific heat itself. If one remembers that, it could save a great deal of time.
Formula used:
Specific heat for a substance is given by:
$c = \dfrac{\Delta Q}{M \Delta T}$
where Q is used to denote heat, T is for temperature and M is for mass.
Complete answer:
The specific heat of a substance is defined as the amount of heat required to raise the temperature of unit mass of the substance through one degree. As we are given 1 g of mass of water and the temperature has to be raised by 1$^{\circ}$ C, we will get the amount of heat to be numerically equal to specific heat:
$\implies c = \Delta Q$.
Now, in c.g.s. units, the specific heat of water is c = 1 cal $g^{-1 \circ} C^{-1}$. Therefore the heat required will be 1 calorie.
Therefore, the heat required to raise the temperature of 1 g of water by 1$^{\circ}$ C is 1 cal.
In MKS units, 1 calorie = 4.186 joule.
Additional information:
The MKS unit for specific heat is J $kg^{-1} K^{-1}$ whereas c.g.s. unit is cal $g^{-1 \circ} C^{-1}$. To make a conversion of specific heat from c.g.s. to MKS, one must first use the relation:
$1 cal g^{-1 \circ} C^{-1} = 4200 J kg^{-1 \circ} C^{-1}$.
Then one must convert the Celsius temperature to Kelvins by using:
T (in K) = t( in $^{\circ}$ C) + 273.
273 K marks zero degree temperature in Celsius scale.
Note:
Here we could have used the definition of heat capacity or thermal capacity instead of specific heat too. By definition the heat capacity of a body is defined as the amount of heat required to raise the temperature of the body by 1 degree. But the answer would have taken a longer route then. Therefore one should not confuse specific heat with heat capacity for the question. The answer simply lies in the definition of specific heat itself. If one remembers that, it could save a great deal of time.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)