<span>D. 2S + 3O2 right-pointing arrow 2SO3
Let's look at the 4 options and see what the issues are with each of the wrong ones.
A. Sulfur and oxygen react to form sulfur trioxide.
* This is just a quick description, but nothing quantitative. How much sulfur? How much oxygen? Are the reactants single atoms or molecules? Not enough information, so this is the wrong choice.
B. S and O2 produce SO3.
* Just replacing words with element abbreviations does't fix the problem. So it's still wrong.
C. S + O2 right-pointing arrow SO3
* This is getting closer. We have the correct symbols for the reactants and product. But the equation doesn't balance. On the left hand side, there are 2 oxygen atoms and on the right hand side, there's 3. Where did the 3rd oxygen atom come from? So it's still wrong.
D. 2S + 3O2 right-pointing arrow 2SO3
* This is correct. We know that we're using elemental sulfur and an oxygen molecule on the left hand side. Actually 2 atoms of elemental sulfur and 3 molecules of oxygen gas. And we're producing 2 molecules of sulfur trioxide. And the numbers of each type of atom match in count on both sides. So this is the correct answer.</span>
I had this question before can you show me the answers choices
Answer:
The acceleration of the mass is 2 meters per square second.
Explanation:
By Newton's second law, we know that force (
), measured in newtons, is the product of mass (
), measured in kilograms, and net acceleration (
), measured in meters per square second. That is:
(1)
The initial force applied in the mass is:
![F = (10\,kg)\cdot \left(2.5\,\frac{m}{s^{2}} \right)](https://tex.z-dn.net/?f=F%20%3D%20%2810%5C%2Ckg%29%5Ccdot%20%5Cleft%282.5%5C%2C%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%20%5Cright%29)
![F = 25\,N](https://tex.z-dn.net/?f=F%20%3D%2025%5C%2CN)
In addition, we know that force is directly proportional to acceleration. If the smaller force is removed, then the initial force is reduced to
of the initial force. The acceleration of the mass is:
![\frac{25\,N}{20\,N} = \frac{2.5\,\frac{m}{s^{2}} }{a}](https://tex.z-dn.net/?f=%5Cfrac%7B25%5C%2CN%7D%7B20%5C%2CN%7D%20%3D%20%5Cfrac%7B2.5%5C%2C%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%20%7D%7Ba%7D)
![a = 2\,\frac{m}{s^{2}}](https://tex.z-dn.net/?f=a%20%3D%202%5C%2C%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D)
The acceleration of the mass is 2 meters per square second.
Answer:
(a) ![3.81\times 10^5\ Pa](https://tex.z-dn.net/?f=3.81%5Ctimes%2010%5E5%5C%20Pa)
(b) ![4.19\times 1065\ Pa](https://tex.z-dn.net/?f=4.19%5Ctimes%201065%5C%20Pa)
Explanation:
<u>Given:</u>
= The first temperature of air inside the tire = ![10^\circ C =(273+10)\ K =283\ K](https://tex.z-dn.net/?f=10%5E%5Ccirc%20C%20%3D%28273%2B10%29%5C%20K%20%3D283%5C%20K)
= The second temperature of air inside the tire = ![46^\circ C =(273+46)\ K= 319\ K](https://tex.z-dn.net/?f=46%5E%5Ccirc%20C%20%3D%28273%2B46%29%5C%20K%3D%20319%5C%20K)
= The third temperature of air inside the tire = ![85^\circ C =(273+85)\ K=358 \ K](https://tex.z-dn.net/?f=85%5E%5Ccirc%20C%20%3D%28273%2B85%29%5C%20K%3D358%20%5C%20K)
= The first volume of air inside the tire
= The second volume of air inside the tire = ![30\% V_1 = 0.3V_1](https://tex.z-dn.net/?f=30%5C%25%20V_1%20%3D%200.3V_1)
= The third volume of air inside the tire = ![2\%V_2+V_2= 102\%V_2=1.02V_2](https://tex.z-dn.net/?f=2%5C%25V_2%2BV_2%3D%20102%5C%25V_2%3D1.02V_2)
= The first pressure of air inside the tire = ![1.01325\times 10^5\ Pa](https://tex.z-dn.net/?f=1.01325%5Ctimes%2010%5E5%5C%20Pa)
<u>Assume:</u>
= The second pressure of air inside the tire
= The third pressure of air inside the tire- n = number of moles of air
Since the amount pof air inside the tire remains the same, this means the number of moles of air in the tire will remain constant.
Using ideal gas equation, we have
![PV = nRT\\\Rightarrow \dfrac{PV}{T}=nR = constant\,\,\,(\because n,\ R\ are\ constants)](https://tex.z-dn.net/?f=PV%20%3D%20nRT%5C%5C%5CRightarrow%20%5Cdfrac%7BPV%7D%7BT%7D%3DnR%20%3D%20constant%5C%2C%5C%2C%5C%2C%28%5Cbecause%20n%2C%5C%20R%5C%20are%5C%20constants%29)
Part (a):
Using the above equation for this part of compression in the air, we have
![\therefore \dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}\\\Rightarrow P_2 = \dfrac{V_1}{V_2}\times \dfrac{T_2}{T_1}\times P_1\\\Rightarrow P_2 = \dfrac{V_1}{0.3V_1}\times \dfrac{319}{283}\times 1.01325\times 10^5\\\Rightarrow P_2 =3.81\times 10^5\ Pa](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cdfrac%7BP_1V_1%7D%7BT_1%7D%3D%5Cdfrac%7BP_2V_2%7D%7BT_2%7D%5C%5C%5CRightarrow%20P_2%20%3D%20%5Cdfrac%7BV_1%7D%7BV_2%7D%5Ctimes%20%5Cdfrac%7BT_2%7D%7BT_1%7D%5Ctimes%20P_1%5C%5C%5CRightarrow%20P_2%20%3D%20%5Cdfrac%7BV_1%7D%7B0.3V_1%7D%5Ctimes%20%5Cdfrac%7B319%7D%7B283%7D%5Ctimes%201.01325%5Ctimes%2010%5E5%5C%5C%5CRightarrow%20P_2%20%3D3.81%5Ctimes%2010%5E5%5C%20Pa)
Hence, the pressure in the tire after the compression is
.
Part (b):
Again using the equation for this part for the air, we have
![\therefore \dfrac{P_2V_2}{T_2}=\dfrac{P_3V_3}{T_3}\\\Rightarrow P_3 = \dfrac{V_2}{V_3}\times \dfrac{T_3}{T_2}\times P_2\\\Rightarrow P_3 = \dfrac{V_2}{1.02V_2}\times \dfrac{358}{319}\times 3.81\times 10^5\\\Rightarrow P_3 =4.19\times 10^5\ Pa](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cdfrac%7BP_2V_2%7D%7BT_2%7D%3D%5Cdfrac%7BP_3V_3%7D%7BT_3%7D%5C%5C%5CRightarrow%20P_3%20%3D%20%5Cdfrac%7BV_2%7D%7BV_3%7D%5Ctimes%20%5Cdfrac%7BT_3%7D%7BT_2%7D%5Ctimes%20P_2%5C%5C%5CRightarrow%20P_3%20%3D%20%5Cdfrac%7BV_2%7D%7B1.02V_2%7D%5Ctimes%20%5Cdfrac%7B358%7D%7B319%7D%5Ctimes%203.81%5Ctimes%2010%5E5%5C%5C%5CRightarrow%20P_3%20%3D4.19%5Ctimes%2010%5E5%5C%20Pa)
Hence, the pressure in the tire after the car i driven at high speed is
.