Question

Calculate the difference between \(C_p\) and \(C_v\) for 10 moles of an ideal gas:

• A. 83.14 J/K
• B. 8.314 J/K
• C. 831.4 J/K
• D. 0.831 J/K

Hint:

The difference between the heat capacities \(C_p\) and \(C_v\) for an ideal gas is always \(R\), and for \(n\) moles, it is \(nR\).

Answer 1

The Correct Option is A

For an ideal gas, the difference between the molar heat capacities at constant pressure and constant volume is: \[ C_p - C_v = R \] where \(R = 8.314 \, \text{J/mol·K}\). For 10 moles of gas, the total difference is: \[ 10 \times 8.314 = 83.14 \, \text{J/K} \] Thus, the correct answer is Option (A).