Answer
424.8k+ views
Hint: For this problem, we have to study the gas constant in brief and also about the units of gas constant. Because for different conditions the unit as well as the value of gas constant also varies and then we can choose the correct option.
Complete Step-by-step answer:
- In the given question, we have to choose the correct unit of the gas constant from the given options.
- So, firstly we should know about the gas constant which has several names such as the ideal gas constant, universal gas constant or molar gas constant.
- The unit of a gas constant is generally expressed in the unit of energy per temperature per mole.
- Also, the gas constant is defined as the product of Avogadro's number and Boltzmann constant that is $\text{R = }{{\text{N}}_{\text{A}}}\text{K}$ and here the value of gas constant was given as $\text{8}\text{.314 J }{{\text{K}}^{1-}}\text{ mo}{{\text{l}}^{1-}}$.
- Whereas in the ideal gas equation the gas constant is expressed as:
$\text{PV = nRT}$ in this equation P is considered as the pressure, V as the volume, n as the number of moles and T as the temperature.
- The symbol of the gas constant was kept 'R' in the honour of the scientist Regnault.
- So, according to these expressions, the unit of the gas constant will be $\text{J }{{\text{K}}^{1-}}\text{ mo}{{\text{l}}^{1-}}$.
Therefore, the value of X is $\text{J }{{\text{K}}^{1-}}\text{ mo}{{\text{l}}^{1-}}$.
Note: As explained that the unit of a gas constant is energy per temperature per mole so here J is the Joule i.e. unit of energy or it can also be written as \[\text{Kg }{{\text{m}}^{2}}\text{ K }{{\text{T}}^{-1}}\text{ mo}{{\text{l}}^{-1}}\text{ }{{\text{s}}^{-2}}\] because Joule can also be written as \[\text{Kg }{{\text{m}}^{2}}\text{ }{{\text{s}}^{-2}}\].
Complete Step-by-step answer:
- In the given question, we have to choose the correct unit of the gas constant from the given options.
- So, firstly we should know about the gas constant which has several names such as the ideal gas constant, universal gas constant or molar gas constant.
- The unit of a gas constant is generally expressed in the unit of energy per temperature per mole.
- Also, the gas constant is defined as the product of Avogadro's number and Boltzmann constant that is $\text{R = }{{\text{N}}_{\text{A}}}\text{K}$ and here the value of gas constant was given as $\text{8}\text{.314 J }{{\text{K}}^{1-}}\text{ mo}{{\text{l}}^{1-}}$.
- Whereas in the ideal gas equation the gas constant is expressed as:
$\text{PV = nRT}$ in this equation P is considered as the pressure, V as the volume, n as the number of moles and T as the temperature.
- The symbol of the gas constant was kept 'R' in the honour of the scientist Regnault.
- So, according to these expressions, the unit of the gas constant will be $\text{J }{{\text{K}}^{1-}}\text{ mo}{{\text{l}}^{1-}}$.
Therefore, the value of X is $\text{J }{{\text{K}}^{1-}}\text{ mo}{{\text{l}}^{1-}}$.
Note: As explained that the unit of a gas constant is energy per temperature per mole so here J is the Joule i.e. unit of energy or it can also be written as \[\text{Kg }{{\text{m}}^{2}}\text{ K }{{\text{T}}^{-1}}\text{ mo}{{\text{l}}^{-1}}\text{ }{{\text{s}}^{-2}}\] because Joule can also be written as \[\text{Kg }{{\text{m}}^{2}}\text{ }{{\text{s}}^{-2}}\].
Recently Updated Pages
What are the figures of speech in the poem Wind class 11 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write down 5 differences between Ntype and Ptype s class 11 physics CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Two tankers contain 850 litres and 680 litres of petrol class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What happens when eggshell is added to nitric acid class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why was Kamaraj called as Kingmaker class 10 social studies CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What makes elections in India democratic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
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)
Distinguish between fundamental units and derived class 11 physics CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![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)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Dynesec the unit of A Momentum B Force C Work D Angular class 11 physics 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)
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
![arrow-right](/cdn/images/seo-templates/arrow-right.png)