JEE MainsJEE AdvanceBITSAT

JEE Mains | PYQ

One mole of an ideal gas expands isothermally and reversibly from \( 10 \, \text{dm}^3 \) to \( 20 \, \text{dm}^3 \) at \( 300 \, \text{K} \). \( \Delta U \), \( q \) and work done in the process respectively are
Given: \( R = 8.3 \, \text{J K}^{-1} \text{mol}^{-1} \)
\( \ln 10 = 2.3 \)
\( \log 2 = 0.30 \)
\( \log 3 = 0.48 \)

Consider the following data:
Heat of formation of \( \mathrm{CO_2(g)} = -393.5 \, \mathrm{kJ\,mol^{-1}} \)
Heat of formation of \( \mathrm{H_2O(l)} = -286.0 \, \mathrm{kJ\,mol^{-1}} \)
Heat of combustion of benzene \( = -3267.0 \, \mathrm{kJ\,mol^{-1}} \)
The heat of formation of benzene is __________ \( \mathrm{kJ\,mol^{-1}} \).
(Nearest integer)

Which of the following graphs correctly represents the variation of thermodynamic properties of Haber's process?

Which of the following properties will change when system containing solution \( 1 \) will become solution \( 2 \)?

A liquid when kept inside a thermally insulated closed vessel at \( 25^\circ \mathrm{C} \) was mechanically stirred from outside. What will be the correct option for the following thermodynamic parameters?

Match List - \( 1 \) with List - \( 11 \).

Choose the correct answer from the options given below:

Heat treatment of muscular pain involves radiation of wavelength of about \( 900 \ \text{nm} \). Which spectral line of H atom is suitable for this?
Given: Rydberg constant \( R_H = 10^5 \ \text{cm}^{-1} \), \( h = 6.6 \times 10^{-34} \ \text{J s} \), \( c = 3 \times 10^8 \ \text{m/s} \)