Assignment:
Please solve the following problems.
1. A 10.0 cm radius piston compresses a gas isothermally from a height of 15.0 cm to 2.50 cm at a constant pressure of 2.0 atm.
a) How much heat was added to the gas?
b) Now if 7000 J of heat is added to the system and the piston is only moves 5.0 cm up, what is the change in the internal energy of the system is the pressure is again constant at 2.0 atm?
2. Sketch a PV diagram for the following process:
a) A 2.0 L gas undergoes an isovolumetric increase in pressure from 1.0 atm to 2.0 atm
b) An isothermal compression from 2.0 atm and 2.0 L to 1.0 atm and 1.0 L
c) An isobaric compression from 2.0 L to 1.0 L
3. An ideal gas expands at a constant total pressure of 2.5 atm from 3.45 L to 6.70 L. Heat then flows out of the gas at constant volume, and the pressure and temperature are allowed to drop until the temperature reaches its original value. Calculate:
a) the total work done by the gas in the process
b) the total heat flow into the gas.
4. Heat flows into an ideal gas at a constant volume. The pressure increases from 1.5 atm to 5.5 atm. Next the gas is compressed at constant pressure from 5.0 L to 2.5 L and goes back to its original temperature.
a) What is the total work done on the gas in the process?
b) What is the total change in internal energy?
c) What is the total heat flow of the process?
5. Using the standard form of a wave x = A cos(t), for this wave: 2.5 cos(6.0 t) please determine the following with the correct units:
a. The amplitude.
b. The frequency.
c. The maximum and minimum speed
d. The maximum acceleration
6. A 0.300 kg piece of metal is heated to 88°C and placed in a copper calorimeter with mass 0.150 kg which contains 0.500 L of water that are both initially at 12.6°C. Over a short period of time the mixture comes to an equilibrium temperature of 22.5°C, what is the specific heat of the metal?
A) b. 1075 J/(kg · °C)
B) d. 3400 J/(kg · °C)
C) c. 1500 J/(kg · °C)
D) a. 1250 J/(kg · °C)
7. A CD with a diameter of 12.5 cm goes from rest to a tangential velocity of 5.6 m/s. If it does this in 2.5 seconds, what is its angular acceleration?
A) 24 rad/s2
B) 16 rad/s2
C) 18 rad/s2
D) 36 rad/s2
8. An object has a weight of 400 N when it is dry. When it is completely submerged in water is has a weight of 150 N. What is the density of the material is the density of water is 1000 kg/m3?
A) b. 4500 kg/m3
B) a. 2300 kg/m3
C) c. 1200 kg/m3
D) d. 1600 kg/m3
9. 4.50 moles of an ideal gas is at 560K. Is the gas undergoes an adiabatic compression and 3750 J of work is done on the gas, what is the final temperature of the gas?
A) c. 2590 K
B) b. 572 K
C) d. 977 K
D) a. 627 K
10. A piece of gold with a mass of 5.50 kg and density of 19300 kg/m3 is suspended from a string and then totally immersed in a beaker of water. Using density of water is 1000 kg/m3
a) Determine the volume of the piece of gold.
b) Determine buoyant force on the gold when it is submersed.
11. A gas is taken through the cycle illustrated here. During one cycle, how much work is done by an engine operating on this cycle?
A) 3PV
B) PV
C) 4PV
D) 2PV
12. If a car horn honking that is 450 m is heard 1.3 seconds after it goes off, what is the temperature in degrees Celsius?
A) c. 56 °C
B) a. 25 °C
C) d. 12 °C
D) b. 34 °C