An ideal gas, , is expanded adiabatically against constant pressure of 1 atm until it doubles in volume. Initial T = 298 K, initial P = 5 atm. Final temperature is K (nearest integer).
[ is the molar

Question

An ideal gas, , is expanded adiabatically against constant pressure of 1 atm until it doubles in volume. Initial T = 298 K, initial P = 5 atm. Final temperature is  K (nearest integer).
[ is the molar heat capacity at constant volume]

Canvas Classes · Accepted Answer

Strategy:
 For an adiabatic expansion against a constant external pressure, the internal energy change () is equal to the work done on the system (). Use the molar heat capacity and  work relation.

Step 1: Define the variables
Initial state: .
Final state: .
Given: .

Step 2: Apply the First Law for 1 mole

.
Rounding to the nearest integer: .

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