First Law of Thermodynamics

Two moles of a monoatomic gas undergoes an isobaric process. If the gas temperature is increased by $20°\mathrm{C}$ then the heat absorbed by the gas is (Take $R=8.3 \mathrm{J} {\mathrm{K}}^{-1} {\mathrm{mol}}^{-1}$)

During adiabatic expansion, the increase in the volume is associated with

A system of gas at NTP is suddenly compressed to $\frac{1}{9}$ of its volume. Calculate the final temperature of the gas.
[Take $\gamma =1.5$]

Diagram shows a horizontal cylindrical container of length $30 \mathrm{cm}$, which is partitioned by a tight-fitting separator. The separator is diathermic but conducts heat very slowly. Initially the separator is in the state shown in the diagram. The temperature of left part of cylinder is $100 \mathrm{K}$ and that on right part is $400 \mathrm{K}$. Initially the separator is in equilibrium. As heat is conducted from right to left part, separator displaces to the right. Find the displacement of separator after a long when gases on the two parts of cylinder are in thermal equilibrium.

An ideal gas is allowed to expand freely against vacuum in a rigid insulated container. The gas undergoes

A polyatomic gas follows a law$T^2{V}^{\alpha }=$ constant. Find $\text{'}\alpha \text{'}$ for which the heat exchange of gas in the process becomes zero

$n$ moles of an ideal gas undergoes a process $\mathrm{A}\to \mathrm{B}$ as shown in the figure. The maximum temperature of the gas during the process will be:

The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process is

When a system is taken from state $i$ to state $f$along the path $iaf$, it is found that $Q=50 \mathrm{cal}$ and $W=20 \mathrm{cal}$. Along the path $ibf$, $Q=36 \mathrm{cal}$ and $W$along the path $ibf$ is

The $P-V$ diagram of a system undergoing thermodynamic transformation is shown in figure. The work done by the system in going from $A\to B\to C$ is $30 \mathrm{J}$ and $40\mathbf{ }\mathrm{J}$ heat is given to the system. The change in internal energy between $A$ and $C$ is

Find the amount of work done to increase the temperature of one mole of ideal gas by $30°\mathrm{C}$, if it is expanding under the condition $V\propto T^{\frac{2}{3}}$.$(R=8.31\mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1})$

Two moles of a monatomic ideal gas are taken through a cyclic process shown on the $P-T$ diagram. The process $\mathrm{CA}$ is represented as $PT$ = constant. If the efficiency of the given cyclic process is $1-\frac{x}{12ln2+15}$, then what is the value of $x$?

$1 \mathrm{mole}$ of rigid diatomic gas performs a work of $\frac{\mathrm{Q}}{5}$ when heat $\mathrm{Q}$ is supplied to it. The molar heat capacity of the gas during this transformation is $\frac{\mathrm{xR}}{8}.$ The value of $\mathrm{x}$ is ________ .

When the temperature of a body is equal to that of the surroundings then the body appears
 

Zeroth law of thermodynamics 

If an ideal diatomic gas follows the process as shown in graph, where $T$ is temperature in $\mathrm{kelvin}$ and $V$ is volume in ${\mathrm{m}}^3$, then molar heat capacity for this process will be [in terms of gas constant $R$],

When the temperature of a body is equal to that of the surroundings then the body appears
 

Zeroth law of thermodynamics 

A thermodynamic cycle of an ideal gas is shown in the figure. Choose the correct option which represents the same cycle.

A cycle tyre bursts suddenly. What is the type of this process?