An 80.0-gram sample of a gas was heated from 25 °C to 225 °C.?
During this process, 346 J of work was done by the system and its internal energy increased by 6855 J. What is the specific heat of the gas?
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Internal energy, U, is equal to the work done or by the system, plus the heat of the system. The work is negative because it was done BY the system.
ΔU= q+w ;
6855 J = q +(-346 J)
q = 6855 Joules + 346 = 7201 Joules
mass x temperature change x specific heat = heat gained
80.0 g x (225-25) x specific heat = 7201 Joules
Specific heat = 7201 Joules/ 80.0g (200C) = 0.450 Joules/gram C