Question: There is an important response function, called the compressibility, which literally tells one how much the material will respond, in therms of its size, upon
There is an important response function, called the compressibility, which literally tells one how much the material will respond, in therms of its size, upon being compressed or stretched. The compressibility is defined according to kappa equals negative 1 over V fraction numerator partial differential V over denominator partial differential p end fraction. Most often, one talks about the isothermal compressibility kappa subscript T equals negative 1 over V left parenthesis fraction numerator partial differential V over denominator partial differential p end fraction right parenthesis subscript T which describes the response at constant temperature. Mathematically, this means we differentiate the equation of state V equals V left parenthesis p comma T right parenthesis with respect to the pressure at constant temperature. (The particle number is kept constant, too!). Given the equation of state for the ideal gas, p equals N k subscript B T divided by V, compute its isothermal compressibility, in inverse Pascals, at STP. Multiply your answer by 106 before entering it
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