Home
Class 12
PHYSICS
Find the dimensions of a in the formula ...

Find the dimensions of a in the formula `(p+a/V^2)(V-b)=RT`

Text Solution

Verified by Experts

`because [(a)/(V^(2))]=[P] therefore [a]=[P][V^(2)]=ML^(-1)T^(-2)xxL^(6)=M^(1)L^(5)T^(-2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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= temperature, V= volume and R= universal gas constant.

The equation of state of a real gas is given by (P+a/V^(2)) (V-b)=RT where P, V and T are pressure, volume and temperature resperature and R is the universal gas constant. The dimensions of the constant a in the above equation is

According to Vander Wall's equation pressure (P) , volume (V) and temperature (T) are related as (P+(a)/(V^(2)))(V-b)=RT [for 1 mole of gas] Then dimension of (ab)/(V^(2)) is equivalent to :-

If discharge rate is given by V=(pi Pr^(4))/(8 mu l) then find out the dimensions of mu by taking velocity (v), time (T) and mass (M) as fundamental units.

The van der waal's gas equation is (P+a/V^(2))(V-b)=RT , where P is pressure, V is molar volume and T is the temperature of the given sample of gas. R is called molar gas constant, a and b are called van der waal's constants. The dimensional formula for (ab)/(RT) is

The van der waal's gas equation is (P+a/V^(2))(V-b)=RT , where P is pressure, V is molar volume and T is the temperature of the given sample of gas. R is called molar gas constant, a and b are called van der waal's constants. Which of the following does not posses the same dimensional formula as that for RT

The position of a particle at time t is given by the relation x(t)=(v_(0)/alpha)(1-e^(-alphat)) where v_(0) is a constant and alpha gt 0 . Find the dimensions of v_(0) and alpha

The van der waal's gas equation is (P+a/V^(2))(V-b)=RT , where P is pressure, V is molar volume and T is the temperature of the given sample of gas. R is called molar gas constant, a and b are called van der waal's constants. The dimensonal formula of RT is same as that of

The van der waal's gas equation is (P+a/V^(2))(V-b)=RT , where P is pressure, V is molar volume and T is the temperature of the given sample of gas. R is called molar gas constant, a and b are called van der waal's constants. The dimensional formula for b is same as that for

The van der waal's gas equation is (P+a/V^(2))(V-b)=RT , where P is pressure, V is molar volume and T is the temperature of the given sample of gas. R is called molar gas constant, a and b are called van der waal's constants. The dimensional formula for a is same as that for