A cylinder containing an ideal gas has a volume of 2.6 m3 and a pressure of 1.5 105 Pa at a temperature of 300 K. The cylinder is placed against a metal block that is maintained at 900 K and the gas expands as the pressure remains constant until the temperature of the gas reaches 900 K. The change in internal energy of the gas is +6.0 105 J. How much heat did the gas absorb?
a. 0
b. 3.4E+5 J
c. 6.0E+5 J
d. 1.4E+6 J
e. 7.8E+5 J
[Ques. 2] A battery has an internal resistance Rint. Connecting a wire of negligible resistance between the terminals of the battery draws the maximum current Imax from this battery. If instead a resistor is connected between the terminals, a smaller current is produced. What value resistor placed across the terminals would result in the current produced to be half of Imax?
a. 0.63Rint b. Rint
c. 0.50Rint d. 0.37Rint
[Ques. 3] A 5.0-mol ideal gas system undergoes an adiabatic free expansion (a rapid expansion into a vacuum), going from an initial volume of 20 L to a final volume of 30 L. How much work is done on the system during this adiabatic free expansion?
a. 100 J
b. 20 J
c. zero
d. +100 J
e. +20 J
[Ques. 4] When a light bulb is turned on, its resistance increases until it reaches operating temperature. What happens to the current in the bulb as it is warming up?
a. It stays constant.
b. It increases.
c. It decreases.
d. It increases at first and then decreases.
[Ques. 5] A quantity of monatomic ideal gas expands adiabatically from a volume of 2.5 liters to 6.3 liters. If the initial pressure is P0, what is the final pressure?
a. 2.5P0
b. 4.7P0
c. 5.0P0
d. 0.21P0
e. 0.43P0
[Ques. 6] When a 27.0- resistor is connected across a 4.50-V battery, a current of 473 mA flows. What is the resulting terminal voltage of the battery?
a. 30.7 V
b. 6.86 V
c. 12.8 V
d. 57.1 V
e. 0.537 V
[Ques. 7] A 2-mol ideal gas system undergoes an adiabatic process where it expands and does 20 J of work on its environment. How much heat is received by the system?
a. 20 J
b. zero
c. +10 J
d. +20 J
e. 10 J
[Ques. 8] When a 35.0- resistor is connected across a 4.50-V battery, a current of 500 mA flows. What is the power output delivered by the emf of the battery?
a. 613 W
b. 140 W
c. 8.75 W
d. 4.38 W
e. 306 W
[Ques. 9] A 2-mol ideal gas system undergoes an adiabatic process where it expands and does 24 J of work on its environment. What is its change in internal energy?
a. 24 J
b. 12 J
c. zero
d. +24 J
e. +12 J
[Ques. 10] When a 20.8- resistor is connected across a 15.6-V battery, a current of 500 mA flows. What is the internal resistance of the battery?
a. 20.8
b. 10.4
c. 31.2
d. 0.732
e. 1.25
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