CALC (a) Explain why in a gas of N molecules, the number of molecules having speeds in the finite interval υ to υ + Δ υ is Δ N = ∫ υ υ + Δ υ f ( υ ) d υ . (b) If Δ υ is small, then f ( υ ) is approximately constant over the interval and Δ N ≈ Nf ( υ )Δ υ . For oxygen gas (O 2 , molar mass 32.0 g/mol) at T = 300 K, use this approximation to calculate the number of molecules with speeds within Δ υ = 20 m/s of υ mp . Express your answer as a multiple of N . (c) Repeat part (b) for speeds within Δ υ = 20 m/s of 7 υ mp . (d) Repeat parts (b) and (c) for a temperature of 600 K. (e) Repeat parts (b) and (c) for a temperature of 150 K. (f) What do your results tell you about the shape of the distribution as a function of temperature? Do your conclusions agree with what is shown in Fig. 18.23?
CALC (a) Explain why in a gas of N molecules, the number of molecules having speeds in the finite interval υ to υ + Δ υ is Δ N = ∫ υ υ + Δ υ f ( υ ) d υ . (b) If Δ υ is small, then f ( υ ) is approximately constant over the interval and Δ N ≈ Nf ( υ )Δ υ . For oxygen gas (O 2 , molar mass 32.0 g/mol) at T = 300 K, use this approximation to calculate the number of molecules with speeds within Δ υ = 20 m/s of υ mp . Express your answer as a multiple of N . (c) Repeat part (b) for speeds within Δ υ = 20 m/s of 7 υ mp . (d) Repeat parts (b) and (c) for a temperature of 600 K. (e) Repeat parts (b) and (c) for a temperature of 150 K. (f) What do your results tell you about the shape of the distribution as a function of temperature? Do your conclusions agree with what is shown in Fig. 18.23?
CALC (a) Explain why in a gas of N molecules, the number of molecules having speeds in the finite interval υ to υ + Δυ is
Δ
N
=
∫
υ
υ
+
Δ
υ
f
(
υ
)
d
υ
. (b) If Δυ is small, then f(υ) is approximately constant over the interval and ΔN ≈ Nf(υ)Δυ. For oxygen gas (O2, molar mass 32.0 g/mol) at T = 300 K, use this approximation to calculate the number of molecules with speeds within Δυ = 20 m/s of υmp. Express your answer as a multiple of N. (c) Repeat part (b) for speeds within Δυ = 20 m/s of 7υmp. (d) Repeat parts (b) and (c) for a temperature of 600 K. (e) Repeat parts (b) and (c) for a temperature of 150 K. (f) What do your results tell you about the shape of the distribution as a function of temperature? Do your conclusions agree with what is shown in Fig. 18.23?
2.00-mol of a monatomic ideal gas goes from State A to State D via the path A→B→C→D:
State A PA=10.5atm, VA=13.50L
State B PB=10.5atm, VB=6.00L
State C PC=20.5atm, VC=6.00L
State D PD=20.5atm, VD=25.00L
Assume that the external pressure is constant during each step and equals the final pressure of the gas for that step.
A) Calculate q for this process
B) Calculate w for this process
C) Calculate ΔE for this process
D) Calculate ΔH for this process
Express answer in L atm units!
2.00-mol of a monatomic ideal gas goes from State A to State D via the path A→B→C→D:
State A PA=10.5atm, VA=13.50L
State B PB=10.5atm, VB=6.00L
State C PC=20.5atm, VC=6.00L
State D PD=20.5atm, VD=25.00L
Assume that the external pressure is constant during each step and equals the final pressure of the gas for that step.
A) Calculate q for this process
B) Calculate w for this process
C) Calculate ΔE for this process
D) Calculate ΔH for this process
2.00-mol of a monatomic ideal gas goes from State A to State D via the path A→B→C→D:
State A PA=11.5atm, VA=11.00L
State B PB=11.5atm, VB=6.50L
State C PC=20.5atm, VC=6.50L
State D PD=20.5atm, VD=22.00L
Assume that the external pressure is constant during each step and equals the final pressure of the gas for that step.
Calculate ΔH for this process.
Chapter 18 Solutions
University Physics with Modern Physics (14th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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