5. Compressibility (6 points total). The isothermal compressibility is a measure of how hard/easy it is to compress an object (how squishy is it?) at constant temperature. It is др defined as Br=-()=-(200²)T' (a) You might wonder why there is a negative sign in this formula. What does it mean when this quantity is positive and what does it mean when this quantity is negative? (b) Derive the formula for the isothermal compressibility of an ideal gas (it is very simple!) (c) Explain under what conditions for the ideal gas the compressibility is higher or lower, and why that makes sense.

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5. Compressibility (6 points total). The isothermal compressibility is a measure of how
hard/easy it is to compress an object (how squishy is it?) at constant temperature. It is
др
defined as Br=-()=-(200²)T'
(a) You might wonder why there is a negative sign in this formula. What does it mean when
this quantity is positive and what does it mean when this quantity is negative?
(b) Derive the formula for the isothermal compressibility of an ideal gas (it is very simple!)
(c) Explain under what conditions for the ideal gas the compressibility is higher or lower,
and why that makes sense.
Transcribed Image Text:5. Compressibility (6 points total). The isothermal compressibility is a measure of how hard/easy it is to compress an object (how squishy is it?) at constant temperature. It is др defined as Br=-()=-(200²)T' (a) You might wonder why there is a negative sign in this formula. What does it mean when this quantity is positive and what does it mean when this quantity is negative? (b) Derive the formula for the isothermal compressibility of an ideal gas (it is very simple!) (c) Explain under what conditions for the ideal gas the compressibility is higher or lower, and why that makes sense.
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