1
JEE Main 2024 (Online) 30th January Morning Shift
Numerical
+4
-1

An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path $$\mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{C} \rightarrow \mathrm{A}$$ as shown in the diagram above. The total work done in the process is __________ J.

2
JEE Main 2024 (Online) 29th January Evening Shift
Numerical
+4
-1

Standard enthalpy of vapourisation for $$\mathrm{CCl}_4$$ is $$30.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$$. Heat required for vapourisation of $$284 \mathrm{~g}$$ of $$\mathrm{CCl}_4$$ at constant temperature is ________ $$\mathrm{kJ}$$.

(Given molar mass in $$\mathrm{g} \mathrm{mol}^{-1} ; \mathrm{C}=12, \mathrm{Cl}=35.5$$)

3
JEE Main 2024 (Online) 27th January Evening Shift
Numerical
+4
-1

For a certain thermochemical reaction $$\mathrm{M} \rightarrow \mathrm{N}$$ at $$\mathrm{T}=400 \mathrm{~K}, \Delta \mathrm{H}^{\ominus}=77.2 \mathrm{~kJ} \mathrm{~mol}^{-1}, \Delta \mathrm{S}=122 \mathrm{~JK}^{-1}, \log$$ equilibrium constant $$(\log K)$$ is __________ $$\times 10^{-1}$$.

4
JEE Main 2024 (Online) 27th January Morning Shift
Numerical
+4
-1

If three moles of an ideal gas at $$300 \mathrm{~K}$$ expand isothermally from $$30 \mathrm{~dm}^3$$ to $$45 \mathrm{~dm}^3$$ against a constant opposing pressure of $$80 \mathrm{~kPa}$$, then the amount of heat transferred is _______ J.