thermodynamics Questions

One mole of ideal monoatomic gas ($\gamma =5/3$) is mixed with one mole of diatomic gas ($\gamma =7/5$). What is $\gamma$ for the mixture? $\gamma$ denotes the ratio of specific heat at constant pressure to that at constant volume.

If the temperature of the sun were to increase from $T$ to $2T$ and its radius from $R$ to $2R$, then the ratio of the radiant energy received on earth to what it was previously will be:

Which of the following statements is correct for any thermodynamic system?

Two thermally insulated vessels $1$ and $2$ are filled with air at temperatures $(T_1,T_2)$, volume $(V_1,V_2)$ and pressure $(P_1,P_2)$ respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be:

A radiation of energy $E$ falls normally on a perfectly reflecting surface. The momentum transferred to the surface is:

The temperature of two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity $K$ and $2K$ and thickness $x$ and $4x$ respectively, are $T_2$ and $T_1$ ($T_2>T_1$). The rate of heat transfer through the slab in a steady state is $\frac{A(T_2-T_1)K}{x}f$, where $f$ is:

An ideal gas expands in volume from $1\times 10^{-3}{\text{m}}^3$ to $1\times 10^{-2}{\text{m}}^3$ at $300\text{K}$ against a constant pressure of $1\times 10^5{\text{Nm}}^{-2}$. The work done is:

The enthalpies of combustion of carbon and carbon monoxide are $-393.5$ and $-283{\text{kJ mol}}^{-1}$ respectively. The enthalpy of formation of carbon monoxide per mole is: