Answer
409.8k+ views
Hint:. The temperature difference can be calculated using the equation, $Q = m{{C}_{V}}\Delta T$
- Where Q is the heat and n is the number of moles, ${{C}_{V}}$ is the specific heat capacity of a substance and $\Delta T$ is the change in temperature.
Complete step by step answer:
In the question, it is given than a solution of 500 ml of 0.2 M KOH and 500 ml of 0.2 M HCl is mixed and the temperature during the reaction is noted as ${{T}_{1}}$ and then another reaction is carried out by mixing 250 ml of KOH and 250 ml of HCl solution of 0.2 M and change in temperature can be calculated ie${{T}_{2}}$.
The reaction involved here is,
$KOH+HCl\to KCl+{{H}_{2}}O$
For finding the moles we can use the equation,
No. of moles =Molarity of the solution $\times$ Volume of the solution
Here the molarity of the solution is taken as 0.2 M as both the solutions have the same molarity and the volume of the solution is 500 ml.
No. of moles = 0.2 $\times$ 500 = 100
As in the question, ${{C}_{V}}$ is not given we eliminate the term and rewrite the equation as, $Q=n\Delta T$
For ${{Q}_{1}}$, ${{Q}_{1}} = n\Delta T = 100\times {{T}_{1}} = 100{{T}_{1}}$
Molarity of the solution is 0.2M and the volume of the solution is 250ml.
No. of moles = 0.2$\times$250 = 50
For${{Q}_{2}}$,${{Q}_{2}} = n\Delta T= 50\times {{T}_{2}} = 50{{T}_{2}}$
From the equations obtained we can say that the ${{Q}_{1}} = 2{{Q}_{2}}$
${{Q}_{1}} = 2{{Q}_{2}}$
$100{{T}_{1}} = 2\times 50{{T}_{2}}$
$100{{T}_{1}} = 100{{T}_{2}}$
${{T}_{1}} = {{T}_{2}}$
So, the correct answer is “Option A”.
Note: If mass is given in the question, then we can alter the equation as,$Q = m{{C}_{V}}\Delta T$
Where m is the mass of the substance given in the question.
- And for such problems the value for specific heat capacity of the substance ${{C}_{V}}$, will be provided in the question.
- Where Q is the heat and n is the number of moles, ${{C}_{V}}$ is the specific heat capacity of a substance and $\Delta T$ is the change in temperature.
Complete step by step answer:
In the question, it is given than a solution of 500 ml of 0.2 M KOH and 500 ml of 0.2 M HCl is mixed and the temperature during the reaction is noted as ${{T}_{1}}$ and then another reaction is carried out by mixing 250 ml of KOH and 250 ml of HCl solution of 0.2 M and change in temperature can be calculated ie${{T}_{2}}$.
The reaction involved here is,
$KOH+HCl\to KCl+{{H}_{2}}O$
For finding the moles we can use the equation,
No. of moles =Molarity of the solution $\times$ Volume of the solution
Here the molarity of the solution is taken as 0.2 M as both the solutions have the same molarity and the volume of the solution is 500 ml.
No. of moles = 0.2 $\times$ 500 = 100
As in the question, ${{C}_{V}}$ is not given we eliminate the term and rewrite the equation as, $Q=n\Delta T$
For ${{Q}_{1}}$, ${{Q}_{1}} = n\Delta T = 100\times {{T}_{1}} = 100{{T}_{1}}$
Molarity of the solution is 0.2M and the volume of the solution is 250ml.
No. of moles = 0.2$\times$250 = 50
For${{Q}_{2}}$,${{Q}_{2}} = n\Delta T= 50\times {{T}_{2}} = 50{{T}_{2}}$
From the equations obtained we can say that the ${{Q}_{1}} = 2{{Q}_{2}}$
${{Q}_{1}} = 2{{Q}_{2}}$
$100{{T}_{1}} = 2\times 50{{T}_{2}}$
$100{{T}_{1}} = 100{{T}_{2}}$
${{T}_{1}} = {{T}_{2}}$
So, the correct answer is “Option A”.
Note: If mass is given in the question, then we can alter the equation as,$Q = m{{C}_{V}}\Delta T$
Where m is the mass of the substance given in the question.
- And for such problems the value for specific heat capacity of the substance ${{C}_{V}}$, will be provided in the question.
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)