The mass of CO₂ gas produced during the combustion of one gallon of octane is 8.21 kg.
The given parameters:
- <em>Density of the octane, ρ = 0.703 g/ml</em>
- <em>Volume of octane, v = 3.79 liters</em>
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The mass of the octane burnt is calculated as follows;
![m = \rho V\\\\m = 0.703 \ \frac{g}{ml} \times 3.79 \ L \ \frac{1000 \ ml}{L} \\\\m = 2,664.37 \ g](https://tex.z-dn.net/?f=m%20%3D%20%5Crho%20V%5C%5C%5C%5Cm%20%3D%200.703%20%5C%20%5Cfrac%7Bg%7D%7Bml%7D%20%5Ctimes%203.79%20%5C%20L%20%5C%20%5Cfrac%7B1000%20%5C%20ml%7D%7BL%7D%20%5C%5C%5C%5Cm%20%3D%202%2C664.37%20%5C%20g)
The combustion reaction of octane is given as;
![2C_8H_{18} + \ 25O_2 \ --> \ 16CO_2 \ + \ 18H_2O](https://tex.z-dn.net/?f=2C_8H_%7B18%7D%20%2B%20%20%5C%2025O_2%20%5C%20--%3E%20%5C%2016CO_2%20%5C%20%2B%20%5C%2018H_2O)
From the reaction above:
228.46 g of octane -------------------> 704 g of CO₂ gas
2,664.37 of octane --------------------> ? of CO₂ gas
![= \frac{2,664.37 \times 704}{228.46} \\\\= 8,210.3 \ g\\\\= 8.21 \ kg](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B2%2C664.37%20%5Ctimes%20704%7D%7B228.46%7D%20%5C%5C%5C%5C%3D%208%2C210.3%20%5C%20g%5C%5C%5C%5C%3D%208.21%20%5C%20kg)
Thus, the mass of CO₂ gas produced during the combustion of one gallon of octane is 8.21 kg.
Learn more about combustion of organic compounds here: brainly.com/question/13272422
15.3 litres of water will be produced if we take 1.7 litres of Hydrogen
Explanation:
Let's take a look over synthesis reaction;
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<u>Balancing the chemical reaction;</u>
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Thus, 2 moles of hydrogen molecules are required to form 2 moles of water molecules.
<u>Equating the molarity;</u>
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= ![\frac{x*1}{2*18}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2A1%7D%7B2%2A18%7D)
(Since, the molecular mass of hyd and water is 2 and 18 respectively)
x=![\frac{1.7*2*18}{2*2}](https://tex.z-dn.net/?f=%5Cfrac%7B1.7%2A2%2A18%7D%7B2%2A2%7D)
x= 15.3 litres.
Thus,15.3 L of water will be produced if we take 1.7 litres of Hydrogen in a synthesis reaction.
I want to say A only... Hope I helped!!
Answer:
![Q_{metal} = -6799\,J](https://tex.z-dn.net/?f=Q_%7Bmetal%7D%20%3D%20-6799%5C%2CJ)
Explanation:
By the First Law of Thermodynamics, the piece of metal and water reaches thermal equilibrium when water receives heat from the piece of metal. Then:
![Q_{metal} = - Q_{w}](https://tex.z-dn.net/?f=Q_%7Bmetal%7D%20%3D%20-%20Q_%7Bw%7D)
![Q_{metal} = m_{w} \cdot c_{p,w}\cdot (T_{1}-T_{2})](https://tex.z-dn.net/?f=Q_%7Bmetal%7D%20%3D%20m_%7Bw%7D%20%5Ccdot%20c_%7Bp%2Cw%7D%5Ccdot%20%28T_%7B1%7D-T_%7B2%7D%29)
![Q_{metal} = (250\,g)\cdot \left(4.184\,\frac{J}{g\cdot ^{\textdegree}C} \right)\cdot (25\,^{\textdegree}C - 31.5\,^{\textdegree}C)](https://tex.z-dn.net/?f=Q_%7Bmetal%7D%20%3D%20%28250%5C%2Cg%29%5Ccdot%20%5Cleft%284.184%5C%2C%5Cfrac%7BJ%7D%7Bg%5Ccdot%20%5E%7B%5Ctextdegree%7DC%7D%20%5Cright%29%5Ccdot%20%2825%5C%2C%5E%7B%5Ctextdegree%7DC%20-%2031.5%5C%2C%5E%7B%5Ctextdegree%7DC%29)
![Q_{metal} = -6799\,J](https://tex.z-dn.net/?f=Q_%7Bmetal%7D%20%3D%20-6799%5C%2CJ)
According to Raoult's low:
We will use this formula: Vp(Solution) = mole fraction of solvent * Vp(solvent)
∴ mole fraction of solvent = Vp(Solu) / Vp (Solv)
when we have Vp(solu) = 25.7 torr & Vp(solv) = 31.8 torr
So by substitution:
∴ mole fraction of solvent = 25.7 / 31.8 =0.808
when we assume the moles of solute NaCl = X
and according to the mole fraction of solvent formula:
mole fraction of solvent = moles of solvent / (moles of solvent + moles of solute)
by substitute:
∴ 0.808 = 0.115 / (0.115 + X)
So X (the no.of moles of NaCl) = 0.027 m