The molar heats of fusion and vaporization of benzene are 10.9 and 31.0 kJ mol\(^{-1}\) respectively. The changes in entropy for the solid \(\rightarrow\) liquid and liquid \(\rightarrow\) vapor transitions for benzene are \(x\) and \(y\) J K\(^{-1}\) mol\(^{-1}\) respectively. The value of \(y(x)\) in J\(^2\) K\(^{-2}\) mol\(^{-2}\) is:
The volume of an ideal gas contracts from 10.0 L to 2.0 L under an applied pressure of 2.0 atm. During contraction, the system also evolved 90 J of heat. The change in internal energy (in J) involved in the system is (1 L·atm = 101.3 J):
At STP \(x\) g of a metal hydrogen carbonate (MHCO$_3$) (molar mass \(84 \, {g/mol}\)) on heating gives CO$_2$, which can completely react with \(0.02 \, {moles}\) of MOH (molar mass \(40 \, {g/mol}\)) to give MHCO$_3$. The value of \(x\) is:
What is the kinetic energy (in \( {J/mol} \)) of one mole of an ideal gas (molar mass = \(0.01 \, {kg/mol}\)) if its rms velocity is \(4 \times 10^2 \, {m/s}\)?
Match the following elements with their correct classifications:
The graph shown below represents the variation of probability density, \( \Psi(r) \), with distance \( r \) of the electron from the nucleus. This represents:
If uncertainty in position and momentum of an electron are equal, then uncertainty in its velocity is:
What are X and Y respectively in the following reaction sequence?
Identify the amino acid which has:
The correct sequence of reactions involved in the following conversion is:
Match the following:
Given below are two statements:Statement I: Viscosity of liquid decreases with an increase in temperature.Statement II: The units of viscosity are kg m-1 s-2.
A hydrocarbon containing C and H has 92.3% C. When 39 g of hydrocarbon was completely burnt in O2, x moles of water and y moles of CO2 were formed. x moles of water is sufficient to liberate 0.75 moles of H2 with Na metal. What is the weight (in g) of oxygen consumed?
At 300 K, for the reaction A → P, the ∆Ssys is 5 J K-1 mol-1. What is the heat absorbed (in kJ mol-1) by the system?
At \( 27^\circ C \), the degree of dissociation of weak acid (HA) in its 0.5M aqueous solution is 1%. Its \( K_a \) value is approximately: