The Vander waal's equation for ideal gas is given by (p+aV2)(V−b)=RT where P is pressure, V is volume a and b are constants, R is universal gas constant and T is absolute temperature. Then the dimensions of ab are same as that of:
A
Force
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B
Momentum
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C
Energy
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D
Power
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Solution
The correct option is D Energy av2=P=M1L−1T−2⇒a=M1L5T−2 BShouldhavedimensionofV→Volume So,ab=(M1L5T−2)L3=M1L2T−2 Force=M1L1T−2 Momentum=M1L1T−1 Energy=M1L2T−2 Power=M1L2T−3 ⇒ Option C is correct.