Thermodynamics ...

A diatomic gas follows equation $$ PV^m = constant $$ during a process.what should be value of m such that its molar heat capacity during process = R?

A monatomic gas "undergoes a cycle consisting of two isothermals and two isobarics. The minimum and maximum temperatures of the gas during the cycle are $$ T_{1}=400 $$. K and $$ T_{2}  =800 \mathrm{K}, $$ respectively, and the ratio of maximum to minimum volume is 4

The volume at $$ B $$ is

A sample of ideal gas is expanded to twice its original volume of $$ 1 \mathrm{m}^{3} $$ in a quasi-static process for which $$ P= \alpha V^{2} $$ with $$ \alpha=3 \times 10^{5} \mathrm{Pa} / \mathrm{m}^{6} $$ as shown in Fig. $$ 2.113 . $$ Work done by the expanding gas is

A cyclic process for 1 mole of an ideal gas is shown in Fig. 2.98 in the $$ V-T, $$ diagram. The work done in $$ A B, B C $$ and $$ C A $$, respectively, is

A monatomic gas "undergoes a cycle consisting of two isothermals and two isobarics. The minimum and maximum temperatures of the gas during the cycle are $$ T_{1}=400 $$. K and $$ T_{2}  =800 \mathrm{K}, $$ respectively, and the ratio of maximum to minimum volume is 4

The heat is extracted from the system in process

An ideal gas is taken through $$ A \rightarrow B \rightarrow C \rightarrow A $$, as shown in Fig. $$ 2.117 . $$ If the net heat supplied to the gas in the cycle is $$ 55 \mathrm{J} $$, the work done by the gas in the process $$ C \rightarrow A $$ is

One mole of an ideal monatomic gas undergoes thermodynamic cycle $$ 1 \rightarrow 2 \rightarrow 3 \rightarrow 1 $$ as shown in Fig. $$ 2.161 . $$ Initial temperature of gas is $$ T_{0}=300 \mathrm{K} $$
Process $$ 1 \rightarrow 2: P=a V $$
Process $$ 2 \rightarrow 3: P V= $$ Constant
Process $$ 3 \rightarrow 1: P= $$ Constant 
(Take $$ \ln |3|=1.09) $$

Determine the heat capacity of each process

Variation of internal energy with density of 1 mole of monatomic gas is depicted in Fig. 2.107 . Corresponding variation of pressure with volume can be depicted as (assume the curve is rectangular hyperbola)

A fixed mass of gas is taken through a process $$ A \rightarrow B \rightarrow C \rightarrow A $$
 $$ A \rightarrow B $$ is isobaric, $$ B \rightarrow C $$ is adiabatic and $$ C \rightarrow A $$ is isothermal.
 Find pressure at $$ C $$

A fixed mass of gas is taken through a process $$ A \rightarrow B \rightarrow C \rightarrow A$$
 $$ A \rightarrow B $$ is isobaric, $$ B \rightarrow C $$ is adiabatic and $$ C \rightarrow A $$ is isothermal.
 Find volume at  C