1
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1

40% of HI undergoes decomposition to H2 and I2 at 300 K. $$\Delta$$G$$^\Theta$$ for this decomposition reaction at one atmosphere pressure is __________ J mol$$-$$1. [nearest integer]

(Use R = 8.31 J K$$-$$1 mol$$-$$1 ; log 2 = 0.3010, ln 10 = 2.3, log 3 = 0.477)

2
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1

The standard free energy change ($$\Delta$$G$$^\circ$$) for 50% dissociation of N2O4 into NO2 at 27$$^\circ$$C and 1 atm pressure is $$-$$ x J mol$$-$$1. The value of x is ___________. (Nearest Integer)

[Given : R = 8.31 J K$$-$$1 mol$$-$$1, log 1.33 = 0.1239 ln 10 = 2.3]

3
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1

PCl5 dissociates as

PCl5(g) $$\rightleftharpoons$$ PCl3(g) + Cl2(g)

5 moles of PCl5 are placed in a 200 litre vessel which contains 2 moles of N2 and is maintained at 600 K. The equilibrium pressure is 2.46 atm. The equilibrium constant Kp for the dissociation of PCl5 is __________ $$\times$$ 10$$-$$3. (nearest integer)

(Given : R = 0.082 L atm K$$-$$1 mol$$-$$1; Assume ideal gas behaviour)

4
JEE Main 2022 (Online) 24th June Morning Shift
Numerical
+4
-1

2O3(g) $$\rightleftharpoons$$ 3O2(g)

At 300 K, ozone is fifty percent dissociated. The standard free energy change at this temperature and 1 atm pressure is ($$-$$) ____________ J mol$$-$$1. (Nearest integer)

[Given : ln 1.35 = 0.3 and R = 8.3 J K$$-$$1 mol$$-$$1]