Questions asked by Rajat Chatterjee

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(p+a/v^2)v=RT,derive the cyclic rule.i.e. show the products of the partial derivatives of p,v&T taken in a order is equal to -1?
$x = cos α + i sin α$ $x=cosalpha+isinalpha$ , $y = cos β + i sin β$ $y=cosbeta+isinbeta$ , $z = cos γ + i sin γ$ $z=cosgamma+isingamma$ and $x + y + z = x y z$ $x+y+z=xyz$ . prove that $cos (β - γ) + cos (γ - α) + cos (α - β) = 1$ $cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=1$ ?
Sir i need help for understanding symmetry elements which is the basis of group theory.i have read many books containing this subject , however i can't imagine these elements.please help me.thanking you?
Why dipole moment of cyclopentanone is greater than cyclopentadienone?please help me.
${(\frac{\partial S}{\partial V})}_{T} = \frac{α}{β}$ $((delS)/(delV))_T = alpha/beta$ . Prove this relation please?
Show that for a van der Waals gas, ${(\frac{\partial C_{V}}{\partial V})}_{T} = 0$ $((delC_V)/(delV))_T = 0$ , where $C_{V} = {(\frac{\partial U}{\partial T})}_{V}$ $C_V = ((delU)/(delT))_V$ ?
Please help me to derive that ${(\frac{\partial S}{\partial T})}_{P} = \frac{C_{P}}{T}$ $((delS)/(delT))_P = C_P/T$ and ${(\frac{\partial S}{\partial T})}_{V} = \frac{C_{V}}{T}$ $((delS)/(delT))_V = C_V/T$ ?
Please help show that ${(\frac{\partial T}{\partial P})}_{S} = \frac{V α T}{C_{P}}$ $((delT)/(delP))_S = (ValphaT)/C_P$ ?
In the followings ,decreasing order of 1st ionisation energy will be ,i)Xe,ii)Al,iii)Be,iv)As. ?
Why picric acid is stronger than HBr in DMF but weaker than HBr in water?
The rate of solvolysis of $C H_{3} C O C l$ $CH_3COCl$ is greater than $C H_{3} C H_{2} C l$ $CH_3CH_2Cl$ . why?
the enol content of which is greater i)1,3,5 trihydroxy benzene ii)1,2,4 trihydroxy benzene. also explain why?