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In the formula , p = (nRT)/(V-b) e ^(a)/(RTV) find the dimensions of a and b, where p = pressure , n= number of moles , T = temperture , V = volume and E = universal gas constant .answer plz?
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Dimensions of a and b in the Formula
The given formula is:
p = (nRT)/(V-b) e ^(a)/(RTV)
Here, we need to find the dimensions of a and b.
Dimension of a:
To find the dimension of a, we can use the exponential term in the given formula:
e ^(a)/(RTV)
The exponential term is dimensionless, so we can equate the dimensions of the numerator and denominator:
Dimension of a = Dimension of RTV
Now, let's break down the dimensions of RTV:
Dimension of R = [M L^2 T^-2 K^-1]
Dimension of T = [T]
Dimension of V = [L^3]
So, the dimension of RTV is:
[M L^2 T^-2 K^-1] [T] [L^3] = [M L^5 T^-2 K^-1]
Therefore, the dimension of a is also [M L^5 T^-2 K^-1].
Dimension of b:
To find the dimension of b, we can look at the denominator of the given formula:
V-b
The dimension of V is [L^3]. To make the units consistent, the dimension of b must also be [L^3]. Therefore, the dimension of b is [L^3].
Conclusion:
- The dimension of a in the given formula is [M L^5 T^-2 K^-1].
- The dimension of b in the given formula is [L^3].
The given formula is:
p = (nRT)/(V-b) e ^(a)/(RTV)
Here, we need to find the dimensions of a and b.
Dimension of a:
To find the dimension of a, we can use the exponential term in the given formula:
e ^(a)/(RTV)
The exponential term is dimensionless, so we can equate the dimensions of the numerator and denominator:
Dimension of a = Dimension of RTV
Now, let's break down the dimensions of RTV:
Dimension of R = [M L^2 T^-2 K^-1]
Dimension of T = [T]
Dimension of V = [L^3]
So, the dimension of RTV is:
[M L^2 T^-2 K^-1] [T] [L^3] = [M L^5 T^-2 K^-1]
Therefore, the dimension of a is also [M L^5 T^-2 K^-1].
Dimension of b:
To find the dimension of b, we can look at the denominator of the given formula:
V-b
The dimension of V is [L^3]. To make the units consistent, the dimension of b must also be [L^3]. Therefore, the dimension of b is [L^3].
Conclusion:
- The dimension of a in the given formula is [M L^5 T^-2 K^-1].
- The dimension of b in the given formula is [L^3].
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In the formula , p = (nRT)/(V-b) e ^(a)/(RTV) find the dimensions of a and b, where p = pressure , n= number of moles , T = temperture , V = volume and E = universal gas constant .answer plz?
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In the formula , p = (nRT)/(V-b) e ^(a)/(RTV) find the dimensions of a and b, where p = pressure , n= number of moles , T = temperture , V = volume and E = universal gas constant .answer plz? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In the formula , p = (nRT)/(V-b) e ^(a)/(RTV) find the dimensions of a and b, where p = pressure , n= number of moles , T = temperture , V = volume and E = universal gas constant .answer plz? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the formula , p = (nRT)/(V-b) e ^(a)/(RTV) find the dimensions of a and b, where p = pressure , n= number of moles , T = temperture , V = volume and E = universal gas constant .answer plz?.
In the formula , p = (nRT)/(V-b) e ^(a)/(RTV) find the dimensions of a and b, where p = pressure , n= number of moles , T = temperture , V = volume and E = universal gas constant .answer plz? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In the formula , p = (nRT)/(V-b) e ^(a)/(RTV) find the dimensions of a and b, where p = pressure , n= number of moles , T = temperture , V = volume and E = universal gas constant .answer plz? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the formula , p = (nRT)/(V-b) e ^(a)/(RTV) find the dimensions of a and b, where p = pressure , n= number of moles , T = temperture , V = volume and E = universal gas constant .answer plz?.
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