Response: The rate constant at 525 K is, 
Rationale:
Based on the Arrhenius equation,

or,
![\log (\frac{K_2}{K_1})=\frac{Ea}{2.303\times R}[\frac{1}{T_1}-\frac{1}{T_2}]](https://tex.z-dn.net/?f=%5Clog%20%28%5Cfrac%7BK_2%7D%7BK_1%7D%29%3D%5Cfrac%7BEa%7D%7B2.303%5Ctimes%20R%7D%5B%5Cfrac%7B1%7D%7BT_1%7D-%5Cfrac%7B1%7D%7BT_2%7D%5D)
where,
= rate constant when
= 
= rate constant when
=?
= activation energy for the process = 
R = gas constant = 8.314 J/mole.K
= initial temperature = 701 K
= final temperature = 525 K
Substituting the provided values into this formula yields:
![\log (\frac{K_2}{2.57M^{-1}s^{-1}})=\frac{1.5\times 10^5J/mol}{2.303\times 8.314J/mole.K}[\frac{1}{701K}-\frac{1}{525K}]](https://tex.z-dn.net/?f=%5Clog%20%28%5Cfrac%7BK_2%7D%7B2.57M%5E%7B-1%7Ds%5E%7B-1%7D%7D%29%3D%5Cfrac%7B1.5%5Ctimes%2010%5E5J%2Fmol%7D%7B2.303%5Ctimes%208.314J%2Fmole.K%7D%5B%5Cfrac%7B1%7D%7B701K%7D-%5Cfrac%7B1%7D%7B525K%7D%5D)

Thus, the rate constant at 525 K is, 
Response: k = 23045 N/m
Clarification:
To determine the spring constant, one must consider the maximum elastic potential energy that the spring can withstand. The kinetic energy of the vehicle should equal at minimum the elastic potential energy of the spring when it is fully compressed. Hence, we express it as:
(1)
M: mass of the vehicle = 1050 kg
k: spring constant =?
v: car speed = 8 km/h
x: maximum spring compression = 1.5 cm = 0.015m
You need to resolve equation (1) for k. Beforehand, convert the speed v to meters per second:


The spring constant calculates to 23045 N/m
The enthalpy change associated with the precipitation reaction is 84 kJ/mole
Why?
The chemical equation for the reaction can be written as
AgNO₃(aq) + NaCl (aq) → AgCl(s) + NaNO₃(aq)
To determine the enthalpy change, the following equation applies

To calculate the heat (Q):

Next, we need to calculate the number of moles involved in the reaction (n):
![n=[AgNO_3]*v(L)=(0.1M)*(0.05L)=0.005moles](https://tex.z-dn.net/?f=n%3D%5BAgNO_3%5D%2Av%28L%29%3D%280.1M%29%2A%280.05L%29%3D0.005moles)
With these two values, we can substitute them into the first equation:

Have a great day!
Answer:
The volume of calcium hydroxide solution utilized is 0.0235 mL.
Explanation:

Moles of KHP = 
In accordance with the reaction, 2 moles of KHP react with 1 mole of calcium hydroxide, thus 0.0330 moles of KHP will react with;
of calcium hydroxide
The molarity of calcium hydroxide solution = 0.703 M
Volume of calcium hydroxide solution = V



The volume of the calcium hydroxide solution utilized is 0.0235 mL.
Explanation:
The scale under her feet exerts an equal force but opposite in direction.
This principle aligns with Newton's third law of motion, which says that "for every action, there is an equal and opposite reaction."
As the girl’s weight presses down on the scale with a force of 42N, the scale responds with an equal upward force in the opposite direction.
The resulting net force is zero, which explains why her weight does not break the scale.
Learn more:
Force