Step-by-step explanation:
The first law of thermodynamics can be written as:
ΔU = Q - W
where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system.
We know that ΔU = 9135 J and W = 346 J. We also know that the gas was heated from 25 ∘C to 225 ∘C. Therefore, the change in temperature is:
ΔT = 225 ∘C - 25 ∘C = 200 ∘C
We can use the specific heat formula to solve for the specific heat of the gas:
Q = mcΔT
where m is the mass of the gas and c is the specific heat of the gas.
Solving for c, we get:
c = Q / (mΔT)
Substituting the given values, we get:
c = 346 J / (80.0 g × 200 ∘C) = 0.0216 J/(g⋅ ∘C)
Therefore, the specific heat of the gas is 0.0216 J/(g⋅ ∘C).