Answer:
Part A is just T2 = 58.3 K
Part B ∆U = 10967.6 x C
You can work out C![_{V}](https://tex.z-dn.net/?f=_%7BV%7D)
Part C
Part D
Part E
Part F
Explanation:
P = n (RT/V)
V = (nR/P) T
P1V1 = P2V2
P1/T1 = P2/T2
V1/T1 = V2/T2
P = Pressure(atm)
n = Moles
T = Temperature(K)
V = Volume(L)
R = 8.314 Joule or 0.08206 L·atm·mol−1·K−1.
bar = 0.986923 atm
N = 14g/mol
N2 Molar Mass 28g
n = 3.5 mol N2
T1 = 350K
P1 = 1.5 bar = 1.4803845 atm
P2 = 0.25 bar = 0.24673075 atm
Heat Capacity at Constant Volume
Q = nCVΔT
Polyatomic gas: CV = 3R
P = n (RT/V)
0.986923 atm x 1.5 = 3.5 mol x ((0.08206 L atm mol -1 K-1 x 350 K) / V))
V = (nR/P) T
V = ((3.5 mol x 0.08206 L atm mol -1 K-1)/(1.5 x 0.986923 atm) )x 350K
V = (0.28721/1.4803845) x 350
V = 0.194 x 350
V = 67.9036 L
So V1 = 67.9036 L
P1V1 = P2V2
1.4803845 atm x 67.9036 L = 0.24673075 x V2
100.52343693 = 0.24673075 x V2
V2 = P1V1/P2
V2 = 100.52343693/0.24673075
V2 = 407.4216 L
P1/T1 = P2/T2
1.4803845 atm / 350 K = 0.24673075 atm / T2
0.00422967 = 0.24673075 /T2
T2 = 0.24673075/0.00422967
T2 = 58.3 K
∆U= nC
∆T
Polyatomic gas: C
= 3R
∆U= nC
∆T
∆U= 28g x C
x (350K - 58.3K)
∆U = 28C
x 291.7
∆U = 10967.6 x C![_{V}](https://tex.z-dn.net/?f=_%7BV%7D)
Answer:
35.1 kJ/mol is the expected value for the heat of sublimation of acetic acid.
Explanation:
..[1]
Heat of vaporization of acetic acid = ![H^o_{vap}=24.3 kJ/mol](https://tex.z-dn.net/?f=H%5Eo_%7Bvap%7D%3D24.3%20kJ%2Fmol)
..[2]
Heat of fusion of acetic acid = ![H^o_{fus}=10.8 kJ/mol](https://tex.z-dn.net/?f=H%5Eo_%7Bfus%7D%3D10.8%20kJ%2Fmol)
Heat of sublimation of acetic acid = ![H^o_{sub}=?](https://tex.z-dn.net/?f=H%5Eo_%7Bsub%7D%3D%3F)
..[3]
[1] + [2] = [3] (Hess's law)
![H^o_{sub}=H^o_{vap}+H^o_{fus}](https://tex.z-dn.net/?f=H%5Eo_%7Bsub%7D%3DH%5Eo_%7Bvap%7D%2BH%5Eo_%7Bfus%7D)
![=24.3 kJ/mol+10.8 kJ/mol=35.1 kJ/mol](https://tex.z-dn.net/?f=%3D24.3%20kJ%2Fmol%2B10.8%20kJ%2Fmol%3D35.1%20kJ%2Fmol)
35.1 kJ/mol is the expected value for the heat of sublimation of acetic acid.
Answer:
41.63g
Explanation:
Given parameters:
Volume of CaCl₂ = 500mL = 0.5L
Concentration = 0.75mol/L
Unknown:
Mass of the solute needed = ?
Solution:
The mass of the solute can be derived using the expression below;
Mass = number of moles x molar mass
But,
Number of moles = Concentration x Volume
So;
Mass = Concentration x Volume x molar mas
Molar mass of CaCl₂ = 40 + 2(35.5) = 111g/mol
Mass = 0.75 x 0.5 x 111 = 41.63g
Answer:
340g
Explanation:
Lithium oxide or Li2O is an inorganic compound made of two lithiums and one oxygen molecules. Lithium molecular mass is 6.94g/mol while oxygen molecular mass is 16g/mol. The molecular mass of Li2O will be:
2* 6.94g/mol + 1*16g/mol= 29.88g/mol
Out of 1 mol lithium oxide (29.88g), there is 1 mol of oxygen(16g). Then, out of 635g lithium oxide the number of oxygen will be: 635g * (16g/29.88g)= 340g
Answer:
110V
Explanation:
Given parameters:
Current in the lightbulb = 0.5A
Resistance = 220Ω
Unknown:
Voltage = ?
Solution:
To solve this problem, we apply the equation derived from ohm's law;
V = IR
So,
V = 0.5 x 220 = 110V