Answer:
Pressure, P = 67.57 atm
Explanation:
<u>Given the following data;</u>
- Volume = 0.245 L
- Number of moles = 0.467 moles
- Temperature = 159°C
- Ideal gas constant, R = 0.08206 L·atm/mol·K
<u>Conversion:</u>
We would convert the value of the temperature in Celsius to Kelvin.
T = 273 + °C
T = 273 + 159
T = 432 Kelvin
To find the pressure of the gas, we would use the ideal gas law;
PV = nRT
Where;
- P is the pressure.
- V is the volume.
- n is the number of moles of substance.
- R is the ideal gas constant.
- T is the temperature.
Making P the subject of formula, we have;
![P = \frac {nRT}{V}](https://tex.z-dn.net/?f=%20P%20%3D%20%5Cfrac%20%7BnRT%7D%7BV%7D%20)
Substituting into the formula, we have;
![P = \frac {0.467*0.08206*432}{0.245}](https://tex.z-dn.net/?f=%20P%20%3D%20%5Cfrac%20%7B0.467%2A0.08206%2A432%7D%7B0.245%7D%20)
![P = \frac {16.5551}{0.245}](https://tex.z-dn.net/?f=%20P%20%3D%20%5Cfrac%20%7B16.5551%7D%7B0.245%7D%20)
<em>Pressure, P = 67.57 atm</em>
Answer: The mantle is the layer of Earth
B because there is 2 gases in the air that we know of because of the text
a) First, to get ΔG°rxn we have to use this formula when:
ΔG° = - RT ㏑ K
when ΔG° is Gibbs free energy
and R is the constant = 8.314 J/mol K
and T is the temperature in Kelvin = 25 °C+ 273 = 298 K
and when K = 4.4 x 10^-2
so, by substitution:
ΔG°= - 8.314 * 298 *㏑(4.4 x 10^-2)
= -7739 J = -7.7 KJ
b) then, to get E° cell for a redox reaction we have to use this formula:
ΔE° Cell = (RT / nF) ㏑K
when R is a constant = 8.314 J/molK
and T is the temperature in Kelvin = 25°C + 273 = 298 K
and n = no.of moles of e- from the balanced redox reaction= 3
and F is Faraday constant = 96485 C/mol
and K = 4.4 x 10^-2
so, by substitution:
∴ ΔE° cell = (8.314 * 298 / 3* 96485) *㏑(4.4 x 10^-2)
= - 2.7 x 10^-2 V