Final answer:
To calculate the work done by the gas during process 1→3→6, use the formula W = P(V₂ - V₁) and calculate the work done between each step of the process, then add them together. Express your answer in terms of p₀ and v₀.
Step-by-step explanation:
The work done by the gas during process 1→3→6 can be calculated using the formula W = P(V₂ - V₁). In this case, we need to find the work done between each step of the process and then add them together. Let's break it down:
In process 1→3, we can use the formula to calculate the work done:
W₁₃ = P₁(V₃ - V₁). Since we don't have the values of P₁ and V₁, we need to find them using the given information and interpolate the values from the provided table. Once we have these values, we can substitute them into the formula to find W₁₃.
Next, let's look at process 3→6. We can use the same formula to calculate the work done:
W₃₆ = P₃(V₆ - V₃). Again, we need to find the values of P₃ and V₃ using the given information and interpolate the values from the table. Once we have these values, we can substitute them into the formula to find W₃₆.
Finally, we can add the work done in each step together:
W = W₁₃ + W₃₆.
Remember to express your answer in terms of p₀ and v₀ as specified in the question.