The equation of state of some gases can be expressed as $\left( {P + \frac{a}{{{V^2}}}} \right)\,(V - b) = RT$. Here $P$ is the pressure, $V$ is the volume, $T$ is the absolute temperature and $a,\,b,\,R$ are constants. The dimensions of $'a'$ are
The equation of state of some gases can be expressed as $\left( {P + \frac{a}{{{V^2}}}} \right)\,(V - b) = RT$. Here $P$ is the pressure, $V$ is the volume, $T$ is the absolute temperature and $a,\,b,\,R$ are constants. The dimensions of $'a'$ are
- A
$M{L^5}{T^{ - 2}}$
- B
$M{L^{ - 1}}{T^{ - 2}}$
- C
${M^0}{L^3}{T^0}$
- D
${M^0}{L^6}{T^0}$
Similar Questions
Match List $I$ with List $II$
List $I$
List $II$
$(A)$ Young's Modulus $(Y)$
$(I)$ $\left[ M L ^{-1} T ^{-1}\right]$
$(B)$ Co-efficient of Viscosity $(\eta)$
$(II)$ $\left[ M L ^2 T ^{-1}\right]$
$(C)$ Planck's Constant $(h)$
$(III)$ $\left[ M L ^{-1} T ^{-2}\right]$
$(D)$ Work Function $(\phi)$
$(IV)$ $\left[ M L ^2 T ^{-2}\right]$
Choose the correct answer from the options given below:
Match List $I$ with List $II$
| List $I$ | List $II$ |
| $(A)$ Young's Modulus $(Y)$ | $(I)$ $\left[ M L ^{-1} T ^{-1}\right]$ |
| $(B)$ Co-efficient of Viscosity $(\eta)$ | $(II)$ $\left[ M L ^2 T ^{-1}\right]$ |
| $(C)$ Planck's Constant $(h)$ | $(III)$ $\left[ M L ^{-1} T ^{-2}\right]$ |
| $(D)$ Work Function $(\phi)$ | $(IV)$ $\left[ M L ^2 T ^{-2}\right]$ |
Choose the correct answer from the options given below:
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