Positive ions from a base and negative
ion from an acid form salt.
<span>To add, table
salt or common salt is a mineral composed primarily of sodium chloride, a
chemical compound belonging to the larger class of salts. Rock salt or halite
is also the common term for salt in its natural form.</span>
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
.
True
In fact, the weight of an object on the surface of the Earth is given by:
![F=mg](https://tex.z-dn.net/?f=F%3Dmg)
where m is the mass of the object and
![g=9.81 m/s^2](https://tex.z-dn.net/?f=g%3D9.81%20m%2Fs%5E2)
is the gravitational acceleration on Earth's surface. If we use the mass of the object, m=3.0 kg, we find
Answer:
Option C. 5,000 kg m/s
Explanation:
<u>Linear Momentum on a System of Particles
</u>
Is defined as the sum of the momenta of each particles in a determined moment. The individual momentum is the product of the mass of the particle by its speed
P=mv
The question refers to an 100 kg object traveling at 50 m/s who collides with another object of 50 kg object initially at rest. We compute the moments of each object
![m_1=(100\ kg)(50\ m/s)=5,000\ kg\ m/s](https://tex.z-dn.net/?f=m_1%3D%28100%5C%20kg%29%2850%5C%20m%2Fs%29%3D5%2C000%5C%20kg%5C%20m%2Fs)
![m_2=(50\ kg)(0\ m/s) = 0](https://tex.z-dn.net/?f=m_2%3D%2850%5C%20kg%29%280%5C%20m%2Fs%29%20%3D%200)
The sum of the momenta of both objects prior to the collision is
![P=5,000\ kg\ m/s+0\ kg\ m/s](https://tex.z-dn.net/?f=P%3D5%2C000%5C%20kg%5C%20m%2Fs%2B0%5C%20kg%5C%20m%2Fs)
![\boxed{ P=5,000\ kg\ m/s}](https://tex.z-dn.net/?f=%5Cboxed%7B%20P%3D5%2C000%5C%20kg%5C%20m%2Fs%7D)
58 the number of protons are the same as your atomic number<span />