Chapter 19: Q20P (page 578)
Question: Calculate the RMS speed of helium atoms at 1000k. Molar mass of helium atoms is.
Short Answer
Answer
The RMS speed of helium atoms at 1000 k is.
Chapter 19: Q20P (page 578)
Question: Calculate the RMS speed of helium atoms at 1000k. Molar mass of helium atoms is.
Answer
The RMS speed of helium atoms at 1000 k is.
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Get started for freeWe know that for an adiabatic process,.Evaluate “ constant” for an adiabatic process involving exactlyof an ideal gas passing through the state having exactlyand . Assume a diatomic gas whose molecules rotate but do not oscillate
A gas is to be expanded from initial state i to final state f along either path 1or path 2on a PV diagram. Path1 consists of three steps: an isothermal expansion (work isin magnitude), an adiabatic expansion (work isin magnitude), and another isothermal expansion (work isin magnitude). Path2 consists of two steps: a pressure reduction at constant volume and an expansion at constant pressure. What is the change in the internal energy of the gas along path 2?
For adiabatic processes in an ideal gas, show that (a) the bulk modulus is given bywhere(See Eq. 17-2.) (b) Then show that the speed of sound in the gas iswhere is the density, T is the temperature, and M is the molar mass. (See Eq. 17-3.)
The temperature of of an ideal monatomic gas is raised in an adiabatic process. What are
(a) the work W done by the gas,
(b) the energy transferred as heat Q,
(c) the change in internal energy of the gas, and
(d) the changein the average kinetic energy per atom?
In an industrial process the volume ofof a monatomic ideal gas is reduced at a uniform rate fromtoinwhile its temperature is increased at a uniform rate fromto. Throughout the process, the gas passes through thermodynamic equilibrium states. What are
(a) the cumulative work done on the gas,
(b) the cumulative energy absorbed by the gas as heat, and
(c) the molar specific heat for the process? (Hint: To evaluate the integral for the work, you might usean indefinite integral.) Suppose the process is replaced with a two-step process that reaches the same final state. In step 1, the gas volume is reduced at constant temperature, and in step 2 the temperature is increased at constant volume. For this process, what are
(d) the cumulative work done on the gas,
(e) the cumulative energy absorbed by the gas as heat,and
(f) the molar specific heat for the process?
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