Heat, Internal Energy and Work

A gas mixture consists of $2 \mathrm{mol}$ of oxygen and $4 \mathrm{mol}$ of argon at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is $xRT$. Find $x$.

An ideal is filled in a closed, rigid and thermally-insulated container. A coil of $100\mathrm{\Omega }$ resistance and carrying a current of $1 \mathrm{A}$ supplies heaT to the gas. The change in the internal energy of the gas after $5$ minutes will be:

For an ideal gas, its internal energy is the function of its:

Write the difference between.heat and internal energy 

Heat and internal energy are path function

Define internal energy and heat?

A container is divided into two chambers by a partition. The volume of first chamber is $4.5 \mathrm{litre}$ and second chamber is $5.5 \mathrm{litre}$. The first chamber contain $3.0$ moles of gas at pressure $2.0 \mathrm{atm}$ and second chamber contain $4.0$ moles of gas at pressure $3.0 \mathrm{atm}$. After the partition is removed and the mixture attains equilibrium, then, the common equilibrium pressure existing in the mixture is $x\times {10}^{-1} \mathrm{atm}$. Value of $x$ is              

A gas mixture consists of $2$ moles of $O_2$ and $4$ moles of Ar at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is $\left(5n+1\right)RT$. Find the value of $n$.

A gas mixture consists of $2$ moles of $O_2$ and $4$ moles of $Ar$ at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is $\left(5n+1\right)RT$. Find the value of $n$.

A thermally insulated vessel with nitrogen gas at $27 °\mathrm{C}$ is moving with a velocity of $100 \mathrm{m} {\mathrm{s}}^{-1}$. If the vessel is stopped suddenly, the percentage change in the pressure of the gas is nearly (Assume entire loss in $\mathrm{KE}$ of the gas is given as heat to gas and $\mathrm{R}=8.3 \mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}$)

An ideal gas $\left(\frac{C_p}{C_v}=\gamma \right)$ has initial volume $V_0$ and is kept in a vessel. It undergoes a change and follows the following relation $P=k{V}^2$ (where $P$ is pressure, and $V$ is volume). Find the change in internal energy of the gas if its final pressure is $P_0$.

Heat transferred to the surrounding will increase the internal energy of a system.

The standard internal energy change of the cell  reaction will be

A thermodynamical system undergoes cyclic process $\mathrm{ABCDA}$ as shown in figure. Work done by the system is _____ (in letters).

An ideal gas undergoing a change of state from $A$ to $B$ through four different paths, $\mathrm{I},\mathrm{ }\mathrm{I}\mathrm{I},\mathrm{ }\mathrm{I}\mathrm{I}\mathrm{I}$ and $\mathrm{I}\mathrm{V}$ as shown in the $\mathrm{P}-\mathrm{V}$ diagram that lead to the same change of state, then the change in internal energy is same in all the cases.

A gas expands from a volume of $1 {\mathrm{m}}^3$ to a volume of $2 {\mathrm{m}}^3$ against an external pressure of ${10}^5 \mathrm{N} {\mathrm{m}}^{-2}$. The work done by the gas will be

Calculate the magnitude of work done (in joules) when $0.2$ mole of an ideal gas at $300 \mathrm{K}$ expands isothermally and reversibly from an initial volume of $2.5$ litres to the final volume of $25$ litres.

Calculate the work done (in joules) when $0.2 \mathrm{mole}$ of an ideal gas at $300 \mathrm{K}$ expands isothermally and reversibly from initial volume of $2.5$ litres to the
final volume of $25$ litres

A gas expands from a volume of 1 m³ to a volume of 2 m³ against an external pressure of 10⁵ N m^-2 . The work done by the gas will be

Calculate the work done by an ideal gas in the thermodynamic process $ABCD$ depicted in the adjoining $P-V$ graph.