Chapter 13: Q49P (page 359)
Question: (II)If the pressure in a gas is tripled while its volume is held constant, by what factor does\({v_{{\rm{rms}}}}\)change?
Short Answer
The rms speed changes by a factor of \(\sqrt 3 \).
Chapter 13: Q49P (page 359)
Question: (II)If the pressure in a gas is tripled while its volume is held constant, by what factor does\({v_{{\rm{rms}}}}\)change?
The rms speed changes by a factor of \(\sqrt 3 \).
All the tools & learning materials you need for study success - in one app.
Get started for freeQuestion:(II) A certain car has 14.0 L of liquid coolant circulating at a temperature of 93°C through the engine’s cooling system. Assume that, in this normal condition, the coolant completely fills the 3.5-L volume of the aluminum radiator and the 10.5-L internal cavities within the aluminum engine. When a car overheats, the radiator, engine, and coolant expand and a small reservoir connected to the radiator catches any resultant coolant overflow. Estimate how much coolant overflows to the reservoir if the system goes from 93°C to 105°C. Model the radiator and engine as hollow shells of aluminum. The coefficient of volume expansion for coolant is\({\bf{410}} \times {\bf{1}}{{\bf{0}}^{{\bf{ - 6}}}}\;{\bf{/^\circ C}}\).
(II) A sealed metal container contains a gas at 20.0°C and 1.00 atm. To what temperature must the gas be heated for the pressure to double to 2.00 atm? (Ignore the expansion of the container.)
(a) Estimate the RMS speed of an amino acid, whose molecular mass is 89 u, in a living cell at 37°C. (b) What would be the RMS speed of a protein of molecular mass 85,000 u at 37°C?
(II) Compare the value for the density of water vapor at exactly 100°C and 1 atm (Table 10–1) with the value predicted from the ideal gas law. Why would you expect a difference?
What do you think about this solution?
We value your feedback to improve our textbook solutions.