t = 0.00s
State: DISORDERED GAS

Live Telemetry & Summary

Lowering the temperature freezes particles into alignment. Expanding volume increases disorder (entropy).

Temperature:300 K
Expansion Ratio (V_f / V_i):2.0x
Entropy Change (ฮ”S):5.763 J/K

Variable Adjuster

Temperature (T)300K
10400
Initial Volume (V_i)2L
13
Final Volume (V_f)4L
25

Entropy & Absolute Zero

ENTR

The Second Law states that system entropy (molecular disorder) always increases in spontaneous processes. The Third Law states that as temperature approaches Absolute Zero (0 K), the entropy of a perfect crystal approaches zero because all molecular thermal motion ceases, locking particles into a rigid, highly-ordered lattice.

ฮ”Sโ‰ฅ0,limโกTโ†’0S=0\Delta S \ge 0, \quad \lim_{T \to 0} S = 0

Whiteboard Solver Steps

Step 1

Isothermal Expansion Entropy Change

For a gas expanding at a constant temperature, the increase in volume increases the number of available microstates, resulting in an increase in system entropy (disorder).

ฮ”S=nRlnโก(VfVi)\Delta S = n R \ln\left(\frac{V_f}{V_i}\right)
Step 2

Entropy Calculation

The positive change confirms that the entropy of the system increases as the gas expands and particles disperse.

ฮ”S=1โ‹…8.314โ‹…lnโก(42)=5.763 J/K\Delta S = 1 \cdot 8.314 \cdot \ln\left(\frac{4}{2}\right) = 5.763 \text{ J/K}