height of the ball is given as a function of time
it is given by equation
![h = -16t^2 + 96 t](https://tex.z-dn.net/?f=h%20%3D%20-16t%5E2%20%2B%2096%20t)
here in order to find the maximum height we will use the concept of calculus where the maximum value of function will exist when its derivative becomes zero.
so here we can say
![\frac{dh}{dt} = 0](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%200)
![-32 t + 96 = 0](https://tex.z-dn.net/?f=-32%20t%20%2B%2096%20%3D%200)
![t = 3 s](https://tex.z-dn.net/?f=t%20%3D%203%20s)
now we will put t = 3 in the given equation
![h = -16*(3)^2 + 96*(3)](https://tex.z-dn.net/?f=h%20%3D%20-16%2A%283%29%5E2%20%2B%2096%2A%283%29)
![h = 144 ft](https://tex.z-dn.net/?f=h%20%3D%20144%20ft)
So the maximum height will be h = 144 ft.
The Coulomb force between two or more charged bodies is the force between them due to Coulomb's law. If the particles are both positively or negatively charged, the force is repulsive; if they are of opposite charge, it is attractive. ... Like the gravitational force, the Coulomb force is an inverse square law.
Math is not my strongest area. However, English poses no problems at all for me. You misspelled “wrap”. You buy gift wrap to wrap a gift. You buy an Eminem C.D. to listen to “rap” music. You “rap” on someone’s door.
Answer : The value of
is -166156 J and equilibrium composition should favor products at standard conditions.
Explanation :
Now we have to calculate the Gibbs free energy.
As we know that,
![\Delta G^o=\Delta H^o-T\Delta S^o](https://tex.z-dn.net/?f=%5CDelta%20G%5Eo%3D%5CDelta%20H%5Eo-T%5CDelta%20S%5Eo)
where,
= standard Gibbs free energy = ?
= standard enthalpy = -249 kJ = -249000 J
= standard entropy = -278 J/K
T = temperature of reaction = ![25^oC=273+25=298K](https://tex.z-dn.net/?f=25%5EoC%3D273%2B25%3D298K)
Now put all the given values in the above formula, we get:
![\Delta G^o=(-249000J)-(298K\times -278J/K)](https://tex.z-dn.net/?f=%5CDelta%20G%5Eo%3D%28-249000J%29-%28298K%5Ctimes%20-278J%2FK%29)
![\Delta G^o=-166156J](https://tex.z-dn.net/?f=%5CDelta%20G%5Eo%3D-166156J)
- A reaction to be spontaneous when
and reaction will be favored in the forward direction that means favored in products.
- A reaction to be non-spontaneous when
and reaction will be favored in the backward direction that means favored in reactants.
As the value of
is less than zero that means the reaction is spontaneous and reaction will be favored in the forward direction that means favored in products.
Hence, the value of
is -166156 J and equilibrium composition should favor products at standard conditions.