A vertical cylinder with a base of area S = 10 cm 2 is filled with gas. The cylinder is fitted with a piston weighing G = 20 kgf which can move without friction. The original volume of the gas is V 0 = 11.21 and the temperature t 0 = 0ºC.
What quantity of heat is needed to raise the temperature of the gas in these conditions by 10ºC if the thermal capacity of this mass of gas with the piston secured in the initial position is C V = 5 cal/deg? Disregard the pressure of the outside atmosphere.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. The heat taken from the heater will be expended on increasing the temperature of the gas and doing work to raise the piston.
The heating will increase the volume of the gas to
V = 
V 0 = 11.651
The work done by the gas in this expansion (see the previous problem) will be
A = P (V – V 0 ) = 20 × 0.45 litre-atm = 9 kgf-m ≈ 21 cal
The quantity of heat used to heat the gas will be
Q = C V (T – T 0 ) + A = 71 cal.
Q = 71 cal.
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