Explanation:
Balloon that an ocean diver takes to a pressure of 202 k Pa will get reduced in size that is the volume of the balloon will get reduced. This is because pressure and volume of the gas are inversely related to each other.
According to Boyle's law: The pressure of the gas is inversely proportional to the volume occupied by the gas at constant temperature(in Kelvins).
(At constant temperature)
The pressure beneath the sea is 202 kPa and the atmospheric pressure is 101.3 kPa . This increase in pressure will result in decrease in volume occupied by the gas inside the balloon with decrease in size of a balloon. Hence, the size of the balloon will get reduced at 202 kPa (under sea).
Answer: ![4.3\times 10^{-13}s^{-1}](https://tex.z-dn.net/?f=4.3%5Ctimes%2010%5E%7B-13%7Ds%5E%7B-1%7D)
Explanation:
According to the Arrhenius equation,
![K=A\times e^{\frac{-Ea}{RT}}](https://tex.z-dn.net/?f=K%3DA%5Ctimes%20e%5E%7B%5Cfrac%7B-Ea%7D%7BRT%7D%7D)
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 at
= ![6.1\times 10^{-8}s^{-1}](https://tex.z-dn.net/?f=6.1%5Ctimes%2010%5E%7B-8%7Ds%5E%7B-1%7D)
= rate constant at
= ![?](https://tex.z-dn.net/?f=%3F)
= activation energy for the reaction = 262 kJ/mol = 262000J/mol
R = gas constant = 8.314 J/mole.K
= initial temperature = ![600.0K](https://tex.z-dn.net/?f=600.0K)
= final temperature = ![775.0K](https://tex.z-dn.net/?f=775.0K)
Now put all the given values in this formula, we get
![\log (\frac{6.1\times 10^{-8}}{K_2})=\frac{262000}{2.303\times 8.314J/mole.K}[\frac{1}{600.0K}-\frac{1}{775.0K}]](https://tex.z-dn.net/?f=%5Clog%20%28%5Cfrac%7B6.1%5Ctimes%2010%5E%7B-8%7D%7D%7BK_2%7D%29%3D%5Cfrac%7B262000%7D%7B2.303%5Ctimes%208.314J%2Fmole.K%7D%5B%5Cfrac%7B1%7D%7B600.0K%7D-%5Cfrac%7B1%7D%7B775.0K%7D%5D)
![\log (\frac{6.1\times 10^{-8}s^}{K_2})=5.150](https://tex.z-dn.net/?f=%5Clog%20%28%5Cfrac%7B6.1%5Ctimes%2010%5E%7B-8%7Ds%5E%7D%7BK_2%7D%29%3D5.150)
![(\frac{6.1\times 10^{-8}}{K_2})=141253.8](https://tex.z-dn.net/?f=%28%5Cfrac%7B6.1%5Ctimes%2010%5E%7B-8%7D%7D%7BK_2%7D%29%3D141253.8)
Therefore, the value of the rate constant at 775.0 K is ![4.3\times 10^{-13}s^{-1}](https://tex.z-dn.net/?f=4.3%5Ctimes%2010%5E%7B-13%7Ds%5E%7B-1%7D)
The equation that relates both energy and wavelength is:
![e=\frac{h*c}{lambda}](https://tex.z-dn.net/?f=%20e%3D%5Cfrac%7Bh%2Ac%7D%7Blambda%7D%20%20)
where e is the energy and lambda is the wavelength.
Therefore, as we can see from this equation, the energy of an electromagnetic wave is inversely related to the wavelength of the electromagnetic wave.
Answer:
0.234 moles
Explanation:
moles of Al2O3 = mass / molar mass
moles of Al2O3 = 23.87g / 102.0g/mol
moles of Al2O3 = 0.234 moles (to three significant figures)