Back to Directory
NEET CHEMISTRYMedium

The values of ΔH\Delta H and ΔS\Delta S for the given reaction are 170 kJ170 \text{ kJ} and 170 J K1170 \text{ J K}^{-1}, respectively. C(graphite)+CO2(g)2CO(g)C(\text{graphite}) + CO_2(g) \rightarrow 2CO(g) This reaction will be spontaneous at:

A

710 K

B

910 K

C

1110 K

D

510 K

Step-by-Step Solution

For a reaction to be spontaneous, the change in Gibbs free energy (ΔG\Delta G) must be negative (ΔG<0\Delta G < 0). According to the Gibbs equation, ΔG=ΔHTΔS\Delta G = \Delta H - T\Delta S. For ΔG<0\Delta G < 0, ΔHTΔS<0\Delta H - T\Delta S < 0, which implies T>ΔHΔST > \frac{\Delta H}{\Delta S}. Given: ΔH=170 kJ=170000 J\Delta H = 170 \text{ kJ} = 170000 \text{ J} ΔS=170 J K1\Delta S = 170 \text{ J K}^{-1} Substituting the values: T>170000 J170 J K1T > \frac{170000 \text{ J}}{170 \text{ J K}^{-1}} T>1000 KT > 1000 \text{ K} Among the given options, only 1110 K1110 \text{ K} is greater than 1000 K1000 \text{ K}. Therefore, the reaction will be spontaneous at 1110 K1110 \text{ K} .

Practice Mode Available

Master this Topic on Sushrut

Join thousands of students and practice with AI-generated mock tests.

Get Started