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The standard Gibbs energy change at 300 K for the reaction $2A⇔B+C$ is $2494.2J.$ At a given time, the composition of the reaction mixture is $[A]=21 ,[B]=2and[C]=21 .$ The reaction proceeds in the : $[R=8.314J/K/mol,e=2.718]$

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The period of oscillation of a simple pendulum is $T=2πgL .$ Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using wrist watch of 1 s resolution. The accuracy in the determination of g is :

A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of $37.0_{∘}C.$ As it does so, it absorbs 208J of heat. The values of q and w for the process will be: (R = 8.314 J/mol K) (l 7.5 = 2.01)

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Let $[ϵ_{0}]$ denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then: