1. For the work done on the system we can write w=pdv

2. We can only use c and c for a process in which the pressure or the volume, respectively, stays constant.

Select the answer that matches:

Only statement 1 is true

Only statement 2 is true

Both statement 1 and statement 2 are true

Neither statement 1 nor statement 2 is true

1 answer

To evaluate the statements, let's analyze them one by one:

  1. Statement 1: "For the work done on the system we can write \( w = pdV \)"

    • This statement is generally true in the context of thermodynamics. Work done on a system during a quasi-static process can be expressed as \( w = \int p , dV \), where \( p \) is the pressure and \( dV \) is the change in volume. For infinitesimal processes, this can be simplified as \( w = pdV \) when pressure is constant.
  2. Statement 2: "We can only use \( c \) and \( c \) for a process in which the pressure or the volume, respectively, stays constant."

    • The statement appears to have a typographical error with "c and c." If it refers to specific heat capacities, then it is true that \( c_p \) (specific heat at constant pressure) and \( c_v \) (specific heat at constant volume) are defined for processes where pressure or volume, respectively, is constant.

Based on this analysis:

  • Statement 1 is true.
  • Statement 2 is also true (assuming it refers to specific heat capacities).

Thus, the answer is:

Both statement 1 and statement 2 are true.