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 (which was stationary), and its internal energy increased by 7765 J. What is the specific heat capacity of the gas?

Step 1: calculate q (charge)

delta U is change in internal energy

Using the formula:

delta U = q + w

q = delta U - w

= 6865 J - (-346 J)

= 7211 J = 7.211 KJ

q = mc x delta T

Step 2) Calculate C.

7211 J = 80.0 g x c x (225-25) °C

c = 0.451 J / g °C