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Thermal Properties of Matter General Physics II PHYS2610 Martus Assignment 2 1 Problems 1. An expensive vacuum system used in my laboratory can achieve a pressure of ( 1.2 imes 10^{-7} frac{N}{m^{2}} ) at ( 18^{circ} mathrm{C} ). How many molecules are there in a cubic centimeter at this pressure and temperature? 2. A bicycle tire contains ( 2.0 L ) of gas at an absolute pressure of ( 7.00 imes 10^{5} frac{N}{m^{2}} ) and a temperature of ( 18^{circ} mathrm{C} ). What will its pressure pressure be if you let out an amount of air that has a volume of ( 100 mathrm{~cm}^{3} ) at atmospheric pressure? Assume tire temperature and volume remain constant. 3. Five bicyclists are riding at the following speeds: ( 5.2 frac{m}{s}, 5.7 frac{m}{s}, 5.9 frac{m}{s}, 6.2 frac{m}{s} ), and ( 6.5 frac{m}{s} ). What is their average speed and what is their RMS speed? 4. How much heat must be added to raise the temperature of ( 1.25 ) mol of air from ( 25.0^{circ} mathrm{C} ) to ( 33.0^{circ} mathrm{C} ) at constant volume? Assume air is completely diatomic. Repeat the problem for the same number of moles of Xenon, Xe a noble gas. 5. A sealed room has a volume of ( 25 m^{3} ). It's filled with air, which may be assumed to be diatomic, at a temperature ( 18.0^{circ} mathrm{C} ) and a pressure of ( 9.90 imes 10^{4} mathrm{~Pa} ). A ( 0.50 mathrm{~kg} ) block of ice at its melting point is placed in the room. Assume the walls of the room transfer no heat. What is the equilibrium temperature?

          Thermal Properties of Matter
General Physics II PHYS2610 Martus
Assignment 2
1 Problems
1. An expensive vacuum system used in my laboratory can achieve a pressure of ( 1.2 	imes 10^{-7} frac{N}{m^{2}} ) at ( 18^{circ} mathrm{C} ). How many molecules are there in a cubic centimeter at this pressure and temperature?
2. A bicycle tire contains ( 2.0 L ) of gas at an absolute pressure of ( 7.00 	imes 10^{5} frac{N}{m^{2}} ) and a temperature of ( 18^{circ} mathrm{C} ). What will its pressure pressure be if you let out an amount of air that has a volume of ( 100 mathrm{~cm}^{3} ) at atmospheric pressure? Assume tire temperature and volume remain constant.
3. Five bicyclists are riding at the following speeds: ( 5.2 frac{m}{s}, 5.7 frac{m}{s}, 5.9 frac{m}{s}, 6.2 frac{m}{s} ), and ( 6.5 frac{m}{s} ). What is their average speed and what is their RMS speed?
4. How much heat must be added to raise the temperature of ( 1.25 ) mol of air from ( 25.0^{circ} mathrm{C} ) to ( 33.0^{circ} mathrm{C} ) at constant volume? Assume air is completely diatomic. Repeat the problem for the same number of moles of Xenon, Xe a noble gas.
5. A sealed room has a volume of ( 25 m^{3} ). It's filled with air, which may be assumed to be diatomic, at a temperature ( 18.0^{circ} mathrm{C} ) and a pressure of ( 9.90 	imes 10^{4} mathrm{~Pa} ). A ( 0.50 mathrm{~kg} ) block of ice at its melting point is placed in the room. Assume the walls of the room transfer no heat. What is the equilibrium temperature?

$Thermal Properties of Matter General Physics II PHYS2610 Martus Assignment 2 1 Problems 1. An expensive vacuum system used in my laboratory can achieve a pressure of ( 1.2 imes 10^-7 fracNm^2 ) at ( 18^circ mathrmC ). How many molecules are there in a cubic centimeter at this pressure and temperature? 2. A bicycle tire contains ( 2.0 L ) of gas at an absolute pressure of ( 7.00 imes 10^5 fracNm^2 ) and a temperature of ( 18^circ mathrmC ). What will its pressure pressure be if you let out an amount of air that has a volume of ( 100 mathrm cm^3 ) at atmospheric pressure? Assume tire temperature and volume remain constant. 3. Five bicyclists are riding at the following speeds: ( 5.2 fracms, 5.7 fracms, 5.9 fracms, 6.2 fracms ), and ( 6.5 fracms ). What is their average speed and what is their RMS speed? 4. How much heat must be added to raise the temperature of ( 1.25 ) mol of air from ( 25.0^circ mathrmC ) to ( 33.0^circ mathrmC ) at constant volume? Assume air is completely diatomic. Repeat the problem for the same number of moles of Xenon, Xe a noble gas. 5. A sealed room has a volume of ( 25 m^3 ). It's filled with air, which may be assumed to be diatomic, at a temperature ( 18.0^circ mathrmC ) and a pressure of ( 9.90 imes 10^4 mathrm Pa ). A ( 0.50 mathrm kg ) block of ice at its melting point is placed in the room. Assume the walls of the room transfer no heat. What is the equilibrium temperature?$

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