(a) You have a bottle containing a mole of a monatomic gas such as helium or neo
ID: 1508011 • Letter: #
Question
(a) You have a bottle containing a mole of a monatomic gas such as helium or neon. You warm up this monatomic gas with an electrical heater which inputs Q = 520 joules of thermal energy transfer. How much does the temperature of the gas increase?
T =
(b) You have a bottle containing a mole of a diatomic gas such as nitrogen (N2) or oxygen (O2). The initial temperature is in the range where many rotational energy levels are excited but essentially no vibrational energy levels. You warm up this diatomic gas with an electrical heater which inputs Q = 520 joules of thermal energy transfer. How much does the temperature of the gas increase?
T =
(c) You have a bottle containing a mole of a diatomic gas such as nitrogen (N2) or oxygen (O2). The initial temperature is in the range where not only many rotational energy levels are excited but also many vibrational energy levels are excited. You warm up this diatomic gas with an electrical heater which inputs Q = 520 joules of thermal energy transfer. How much does the temperature of the gas increase?
T =
Explanation / Answer
(a)
Q = n*Cv*dT
Q = n*(3/2)*R*dT
520 = 1*(3/2)*8.314*dT
dT = 41.7 K
(b)
for diatomic Cv = 5/2*R
Q = n*CV*dT
Q = n*5/2*R*dT
520 = 1*5/2*8.314*dT
dT = 25 K
+++++
(c)
for diatomic Cv = 3*R
Q = n*CV*dT
Q = n*3*R*dT
520 = 1*3*8.314*dT
dT = 20.8
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