Answer:
b and d
a, c, e, and f
Explanation:
Ideal gas law:
PV = nRT
Solving for temperature:
T = PV / (nR)
Therefore, temperature is directly proportional to pressure and volume, and inversely proportional to the number of molecules.
T = k PV / N
Let's say that T₀ is the temperature when P = 100 kPa, V = 4 L, and N = 6×10²³.
a) T = k PV / N = T₀
b) T = k (2P) V / N = 2T₀
c) T = k (P/2) (2V) / N = T₀
d) T = k PV / (N/2) = 2T₀
e) T = k P (V/2) / (N/2) = T₀
f) T = k (P/2) V / (N/2) = T₀
b and d have the highest temperature,
a, c, e, and f have the lowest temperature.
The rubbed comb exerts a force on the pieces of paper and sets them into motion as a result of static electricity generated by the rubbing effect
Answer:
3.85 nm
Explanation:
The volume of a sphere is:
V = 4/3 * π * r^3
The volume of a shell is the volume of the big sphere minus the volume of the small sphere
Vs = 4/3 * π * r2^3 - 4/3 * π * r1^3
Vs = 4/3 * π * (r2^3 - r1^3)
If the difference between the radii is 1 nm
r2 = r1 + 1 nm
Vs = 4/3 * π * ((r1 + 1)^3 - r1^3)
Vs = 4/3 * π * ((r1 + 1)^3 - r1^3)
Vs = 4/3 * π * (r1^3 + 3*r1^2 + 3*r1 + 1 - r1^3)
Vs = 4/3 * π * (3*r1^2 + 3*r1 + 1)
The volme of the shell is equall to the volume of the inner shell:
4/3 * π * (r1^3) = 4/3 * π * (3*r1^2 + 3*r1 + 1)
r1^3 = 3*r1^2 + 3*r1 + 1
0 = -r1^3 + 3*r1^2 + 3*r1 + 1
Solving this equation electronically:
r1 = 3.85 nm
