1) A quantity of monatomic ideal gas expands adiabatically from a volume of 2.0
ID: 1703790 • Letter: 1
Question
1) A quantity of monatomic ideal gas expands adiabatically from a volume of 2.0 liters to 6.0 liters. If the initial pressure is P 0 , what is the final pressure?a. 9.0 P 0
b. 6.2 P 0
c. 3.0 P 0
d. 0.16 P 0
2) An electrical generating plant operates at a boiler temperature of 220°C and exhausts the unused heat into a nearby river at 19°C. If the generating plant has a power output of 800 megawatts (MW) and if the actual efficiency is 3/4 the theoretical efficiency, how much heat per second must be delivered to the boiler? (0°C = 273 K)
a. 5 200 MW
b. 1 810 MW
c. 3 620 MW
d. 2 620 MW
Explanation / Answer
a ) for adiabatic expansion PV ^ = constant
P_0 (V_0 )^ = P_f (V_f )^
where = 5/3
P_f = ( P_0 (V_0 / V_f )^
= ( 2/6 )^ 5/3 P_0
= 0.16 P_0
b )
heat in = power out / actualefficiency
= 800 MW / 0.3058
= 2620 MW
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