Using the addition of forces using right angled triangles. The resultant force sqaured. = 112.8 sqaured + 52.6 squared. So resultant force sqaured is 15490.6. So the resultant force is the sqaure root of this which is 124N to 3 significant figures
Condensation is a change of state from vapour to liquid while
freezing is also a change of state, from liquid to solid. Both are
change of states.
Additionally, condensation requires
much more energy to change the state of vapor to liquid than it does it
change the state of liquid to solid.
Answer:
The value is ![t = 689.029 \ hours](https://tex.z-dn.net/?f=t%20%3D%20689.029%20%5C%20%20hours%20%20)
Explanation:
From the question we are told that
The molar mass of hydrazine is ![Z = 32 g/mol = \frac{32}{1000} = 0.032 \ kg/mol](https://tex.z-dn.net/?f=Z%20%3D%20%2032%20g%2Fmol%20%3D%20%5Cfrac%7B32%7D%7B1000%7D%20%3D%200.032%20%5C%20%20kg%2Fmol)
The initial temperature is ![T_i = -186 ^o F = (-186-32) *\frac{5}{9} +273.15 = 152\ K](https://tex.z-dn.net/?f=T_i%20%20%3D%20%20-186%20%5Eo%20F%20%3D%20%28-186-32%29%20%2A%5Cfrac%7B5%7D%7B9%7D%20%2B273.15%20%3D%20152%5C%20K)
The final temperature is ![T_f = 78 ^o F = (78-32) *\frac{5}{9} +273.15 = 298.7 \ K](https://tex.z-dn.net/?f=T_f%20%20%3D%20%2078%20%5Eo%20F%20%3D%20%2878-32%29%20%2A%5Cfrac%7B5%7D%7B9%7D%20%2B273.15%20%3D%20298.7%20%5C%20K)
The specific heat capacity is ![c_h = 0.099 [kJ/(mol K)] = 0.099 *10^3 J/(mol/K)](https://tex.z-dn.net/?f=c_h%20%20%3D%20%200.099%20%5BkJ%2F%28mol%20K%29%5D%20%3D%200.099%20%2A10%5E3%20J%2F%28mol%2FK%29)
The power available is ![P = 300 \ W](https://tex.z-dn.net/?f=P%20%3D%20300%20%5C%20W)
The mass of the fuel is ![m = 1640 \ kg](https://tex.z-dn.net/?f=m%20%3D%20%20%201640%20%5C%20%20kg)
Generally the number of moles of hydrazine present is
![n = \frac{m}{Z}](https://tex.z-dn.net/?f=n%20%20%3D%20%20%5Cfrac%7Bm%7D%7BZ%7D)
=> ![n = \frac{1640}{= 0.032}](https://tex.z-dn.net/?f=n%20%20%3D%20%20%5Cfrac%7B1640%7D%7B%3D%200.032%7D)
=> ![n = 51250 \ mol](https://tex.z-dn.net/?f=n%20%20%3D%20%2051250%20%5C%20mol)
Generally the quantity of heat energy needed is mathematically represented as
=>
=>
Generally the time taken is mathematically represented as
![t = \frac{Q}{P}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7BQ%7D%7BP%7D)
=> ![t = \frac{7.441516913 * 10^{8} }{300}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B7.441516913%20%2A%2010%5E%7B8%7D%20%7D%7B300%7D)
=> t = 2480505.6377 s
Converting to hours
![t = \frac{2480505.6377}{3600}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B2480505.6377%7D%7B3600%7D)
=> ![t = 689.029 \ hours](https://tex.z-dn.net/?f=t%20%3D%20689.029%20%5C%20%20hours%20%20)
Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Answer: 24.1 mL
Explanation:
Initial volume V1 = 65 mL
Initial pressure P1 = 0.854 atm
Final volume of the gas V2 = ?
Final pressure of the gas P2 = 2.3 atm
Since, pressure and volume are involved while temperature is constant, apply the formula for Boyle's law
P1V1 = P2V2
0.854 atm x 65 mL = 2.3 atm x V2
55.51 atm mL = 2.3 atm x V2
V2 = (55.51 atm mL / 2.3 atm)
V2 = 24.1 mL
Thus, the final volume of the gas will be
24.1 mL