Ice is cold and water cools down heat, cooking oil isn’t hot unless you add it to heat, corn syrup isn’t hot unless you add it to heat as well so, they’d all lose heat at the same/different rates because they are all cooled beverages/subjects.
Answer:
<h3>Therefore, after long period of time 80kg of salt will remain in tank</h3>
Explanation:
given amount of salt at time t is A(t)
initial amount of salt =300 gm =0.3kg
=>A(0)=0.3
rate of salt inflow =5*0.4= 2 kg/min
rate of salt out flow =5*A/(200)=A/40
rate of change of salt at time t , dA/dt= rate of salt inflow- ratew of salt outflow
![dA/dt=2-(A/40)\\\\dA=2dt-(A/40)dt\\\\dA+(A/40)dt=2dt](https://tex.z-dn.net/?f=dA%2Fdt%3D2-%28A%2F40%29%5C%5C%5C%5CdA%3D2dt-%28A%2F40%29dt%5C%5C%5C%5CdA%2B%28A%2F40%29dt%3D2dt)
integrating factor
![=e^{\int\limits (1/40) \, dt}](https://tex.z-dn.net/?f=%3De%5E%7B%5Cint%5Climits%20%281%2F40%29%20%5C%2C%20dt%7D)
integrating factor ![=e^{(1/40)t}](https://tex.z-dn.net/?f=%3De%5E%7B%281%2F40%29t%7D)
multiply on both sides by ![=e^{(1/40)t}](https://tex.z-dn.net/?f=%3De%5E%7B%281%2F40%29t%7D)
![dAe^{(1/40)t}+(A/40)e^{(1/40)t} dt =2e^{(1/40)t}t\\\\(Ae^{(1/40)t})=2e^{(1/40)t}t](https://tex.z-dn.net/?f=dAe%5E%7B%281%2F40%29t%7D%2B%28A%2F40%29e%5E%7B%281%2F40%29t%7D%20dt%20%3D2e%5E%7B%281%2F40%29t%7Dt%5C%5C%5C%5C%28Ae%5E%7B%281%2F40%29t%7D%29%3D2e%5E%7B%281%2F40%29t%7Dt)
integrate on both sides
b)
after long period of time means t - > ∞
![{t \to \infty}\\\\ \lim_{t \to \infty} A_t \\\\ \lim_{t \to \infty} (80)-(79/{e^{(1/40)t}}\\\\=80-(0)\\\\=80](https://tex.z-dn.net/?f=%7Bt%20%5Cto%20%5Cinfty%7D%5C%5C%5C%5C%20%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20A_t%20%5C%5C%5C%5C%20%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20%2880%29-%2879%2F%7Be%5E%7B%281%2F40%29t%7D%7D%5C%5C%5C%5C%3D80-%280%29%5C%5C%5C%5C%3D80)
<h3>Therefore, after long period of time 80kg of salt will remain in tank</h3>
Because people make those substance out of other things
Answer:
Explanation:
<u>Manganese (VII) ion (an anion) has the formula MnO₄⁻</u>. A polyatomic ion is an ion that is made up of more than one atom. For example, MnO₄⁻ and NH₄⁺. Since the ion provided in the question is an anion, the polyatomic ion that would react with it will have to be a cation (positively charged).
<u>The polyatomic cation that will react with MnO₄⁻ to form a neutral compound is NH₄⁺ (ammonium ion) to form NH₄MnO₄ (Ammonium permanganate).</u>
This is what i got The KB expression for aniline c6h5nh2 is: For C6H5NH2 + H2O >< C6H5NH3+ <span>OH-Kb = 4.3 x (10 ^ -10) = [C6H5NH3+][OH-] / [C6H5NH2]
hope this helps:)
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