Final answer:
The correct values for heat and work for the piston are 42 J and -5.0 × 10^4 J, respectively.
Step-by-step explanation:
In this question, we are given the initial volume (V1 = 0.0007 m³), the final volume (V2 = 0.0002 m³), and the constant pressure (P = 1.0 × 10^5 Pa). We need to find the heat (Q) and work (W) done by the piston.
The work done by the piston is given by the equation:
W = PΔV
where ΔV = V2 - V1 is the change in volume.
The heat absorbed by the piston is given by the equation:
Q = nCΔT
where ΔT is the change in temperature and C is the specific heat capacity of the gas.
Since the pressure is constant, the work done can be calculated using the equation:
W = PΔV
Substituting the given values, we have:
W = (1.0 × 10^5 Pa) * (0.0002 m³ - 0.0007 m³)
Calculating the work:
W = -5.0 × 10^4 J
Since the process is carried out at constant pressure, the heat absorbed can be calculated using the equation:
Q = nCΔT
Since the gas is ideal, we can use the equation:
nCΔT = CΔT = Q
Substituting the given values, we have:
Q = CΔT = 42 J
Therefore, the correct values for heat (Q) and work (W) for the piston are 42 J and -5.0 × 10^4 J, respectively.