Answer:- 0.273 kg
Solution:- A double replacement reaction takes place. The balanced equation is:
![3NaClO_3+Al(NO_3)_3\rightarrow 3NaNO_3+Al(ClO_3)_3](https://tex.z-dn.net/?f=3NaClO_3%2BAl%28NO_3%29_3%5Crightarrow%203NaNO_3%2BAl%28ClO_3%29_3)
We have 0.29 L of 22% m/v aluminum nitrate solution. m/s stands for mass by volume. 22% m/v aluminium nitrate solution means 22 g of it are present in 100 mL solution. With this information, we can calculate the grams of aluminum nitrate present in 0.29 L.
![0.29L(\frac{1000mL}{1L})(\frac{22g}{100mL})](https://tex.z-dn.net/?f=0.29L%28%5Cfrac%7B1000mL%7D%7B1L%7D%29%28%5Cfrac%7B22g%7D%7B100mL%7D%29)
= 63.8 g aluminum nitrate
From balanced equation, there is 1:3 mol ratio between aluminum nitrate and sodium chlorate. We will convert grams of aluminum nitrate to moles and then on multiplying it by mol ratio we get the moles of sodium chlorate that could further be converted to grams.
We need molar masses for the calculations, Molar mass of sodium chlorate is 106.44 gram per mole and molar mass of aluminum nitrate is 212.99 gram per mole.
![63.8gAl(NO_3)_3(\frac{1mol}{212.99g})(\frac{3molNaClO_3}{1molAl(NO_3)_3})(\frac{106.44g}{1mol})](https://tex.z-dn.net/?f=63.8gAl%28NO_3%29_3%28%5Cfrac%7B1mol%7D%7B212.99g%7D%29%28%5Cfrac%7B3molNaClO_3%7D%7B1molAl%28NO_3%29_3%7D%29%28%5Cfrac%7B106.44g%7D%7B1mol%7D%29)
= ![95.7gNaClO_3](https://tex.z-dn.net/?f=95.7gNaClO_3)
sodium chlorate solution is 35% m/m. This means 35 g of sodium chlorate are present in 100 g solution. From here, we can calculate the mass of the solution that will contain 95.7 g of sodium chlorate and then the grams are converted to kg.
![95.7gNaClO_3(\frac{100gSolution}{35gNaClO_3})(\frac{1kg}{1000g})](https://tex.z-dn.net/?f=95.7gNaClO_3%28%5Cfrac%7B100gSolution%7D%7B35gNaClO_3%7D%29%28%5Cfrac%7B1kg%7D%7B1000g%7D%29)
= 0.273 kg
So, 0.273 kg of 35% m/m sodium chlorate solution are required.
Answer:
713 nm. It is not visible with the naked eye.
Explanation:
Step 1: Given data
- Energy of light (E): 2.79 × 10⁻¹⁹ J
- Planck's constant (h): 6.63 × 10⁻³⁴ J.s
- Speed of light (c): 3.00 × 10⁸ m/s
Step 2: Calculate the wavelength of the light
We will use the Planck-Einstein equation.
E = h × c / λ
λ = h × c / E
λ = 6.63 × 10⁻³⁴ J.s × 3.00 × 10⁸ m/s / 2.79 × 10⁻¹⁹ J
λ = 7.13 × 10⁻⁷ m
Step 3: Convert "λ" to nm
We will use the relationship 1 m = 10⁹ nm.
7.13 × 10⁻⁷ m × (10⁹ nm/1 m) = 713 nm
This light is not in the 400-700 nm interval so it is not visible with the naked eye.
Answer:
accretion
Explanation:
the coming together and cohesion of matter under the influence of gravitation to form larger bodies.
Answer:
![Kp^{1000K}=0.141\\Kp^{298.15K}=2.01x10^{-18}](https://tex.z-dn.net/?f=Kp%5E%7B1000K%7D%3D0.141%5C%5CKp%5E%7B298.15K%7D%3D2.01x10%5E%7B-18%7D)
![\Delta _rG=1.01x10^5J/mol](https://tex.z-dn.net/?f=%5CDelta%20_rG%3D1.01x10%5E5J%2Fmol)
Explanation:
Hello,
In this case, the undergoing chemical reaction is:
![C_2H_6(g)\rightleftharpoons H_2(g)+C_2H_4(g)](https://tex.z-dn.net/?f=C_2H_6%28g%29%5Crightleftharpoons%20H_2%28g%29%2BC_2H_4%28g%29)
Thus, Kp for this reaction is computed based on the given molar fractions and the total pressure at equilibrium, as shown below:
![p_{C_2H_6}^{EQ}=2bar*0.592=1.184bar\\p_{C_2H_4}^{EQ}=2bar*0.204=0.408bar\\p_{H_2}^{EQ}=2bar*0.204=0.408bar](https://tex.z-dn.net/?f=p_%7BC_2H_6%7D%5E%7BEQ%7D%3D2bar%2A0.592%3D1.184bar%5C%5Cp_%7BC_2H_4%7D%5E%7BEQ%7D%3D2bar%2A0.204%3D0.408bar%5C%5Cp_%7BH_2%7D%5E%7BEQ%7D%3D2bar%2A0.204%3D0.408bar)
![Kp=\frac{p_{C_2H_4}^{EQ}p_{H_2}^{EQ}}{p_{C_2H_6}^{EQ}}=\frac{(0.408)(0.408)}{1.184}=0.141](https://tex.z-dn.net/?f=Kp%3D%5Cfrac%7Bp_%7BC_2H_4%7D%5E%7BEQ%7Dp_%7BH_2%7D%5E%7BEQ%7D%7D%7Bp_%7BC_2H_6%7D%5E%7BEQ%7D%7D%3D%5Cfrac%7B%280.408%29%280.408%29%7D%7B1.184%7D%3D0.141)
Now, by using the Van't Hoff equation one computes the equilibrium constant at 298.15K assuming the enthalpy of reaction remains constant:
![Ln(Kp^{298.15K})=Ln(Kp^{1000K})-\frac{\Delta _rH}{R}*(\frac{1}{298.15K}-\frac{1}{1000K} )\\\\Ln(Kp^{298.15K})=Ln(0.141)-\frac{137000J/mol}{8.314J/mol*K} *(\frac{1}{298.15K}-\frac{1}{1000K} )\\\\Ln(Kp^{298.15K})=-40.749\\\\Kp^{298.15K}=exp(-40.749)=2.01x10^{-18}](https://tex.z-dn.net/?f=Ln%28Kp%5E%7B298.15K%7D%29%3DLn%28Kp%5E%7B1000K%7D%29-%5Cfrac%7B%5CDelta%20_rH%7D%7BR%7D%2A%28%5Cfrac%7B1%7D%7B298.15K%7D-%5Cfrac%7B1%7D%7B1000K%7D%20%29%5C%5C%5C%5CLn%28Kp%5E%7B298.15K%7D%29%3DLn%280.141%29-%5Cfrac%7B137000J%2Fmol%7D%7B8.314J%2Fmol%2AK%7D%20%2A%28%5Cfrac%7B1%7D%7B298.15K%7D-%5Cfrac%7B1%7D%7B1000K%7D%20%29%5C%5C%5C%5CLn%28Kp%5E%7B298.15K%7D%29%3D-40.749%5C%5C%5C%5CKp%5E%7B298.15K%7D%3Dexp%28-40.749%29%3D2.01x10%5E%7B-18%7D)
Finally, the Gibbs free energy for the reaction at 298.15K is:
![\Delta _rG=-RTln(Kp^{298.15K})=8.314J/mol*K*298.15K*ln(2.01x10^{-18})\\\Delta _rG=1.01x10^5J/mol](https://tex.z-dn.net/?f=%5CDelta%20_rG%3D-RTln%28Kp%5E%7B298.15K%7D%29%3D8.314J%2Fmol%2AK%2A298.15K%2Aln%282.01x10%5E%7B-18%7D%29%5C%5C%5CDelta%20_rG%3D1.01x10%5E5J%2Fmol)
Best regards.