If $\Delta Q$ and $\Delta W$ represent the heat supplied to the system and the work done on the system respectively, then the first law of thermodynamics can be written as

where $\Delta U$ is the internal energy

When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas, is

One mole of an ideal gas $\left( {\frac{{{C_p}}}{{{C_v}}} = Y} \right)$ heated by law $P = \alpha V$ where $P$ is pressure of gas, $V$ is volume, $\alpha $ is a constant. What is the molar heat capacity of gas in the process

$1\;g$ of water, of volume $1\; \mathrm{cm}^{3}$ at $100^{\circ} \mathrm{C},$ is converted into steam at same temperature under normal atmospheric pressure $\left(=1 \times 10^{5} \;\mathrm{Pa}\right) .$ The volume of steam formed equals $1671 \;\mathrm{cm}^{3} .$ If the specific latent heat of vaporisation of water is $2256\; \mathrm{J} / \mathrm{g}$, the change in intemal energy is…..$J$

A heat engine has an efficiency of $\frac{1}{6}$. When the temeprature of sink is reduced by $62^{\circ} {C}$, its efficiency get doubled. The temeprature of the source is $…..^{\circ} {C}$