Embibe Experts Solutions for Chapter: Thermodynamics, Exercise 1: Assam CEE 2016

Which of the graphs shown in the figures correctly represents the variation of $\mathrm{\beta }=-\left(\frac{\mathrm{d}V}{\mathrm{d}P}\right)\frac{1}{V}$ with $P$ for an ideal gas at constant temperature?

For a Carnot engine which of the following is false?

A gas with the ratio of specific heat $y$ expands from an initial pressure of $p_1$ and volume $V_1$ to pressure $p_2$ and volume $V_2\text{,}$ adiabatically. The work done is given by

The heat energy absorbed by a system is going through a cyclic process shown in the figure. The work done during the process is 

A given quantity of gas is taken from the state $\mathrm{A}$ to the state $\mathrm{C}$ reversibly by two paths, $\mathrm{A}\to \mathrm{C}$ directly and $\mathrm{A} \to \mathrm{B}\to \mathrm{C}$ as shown in the figure below:

During the process $\mathrm{A}\to \mathrm{C}$, work done by the gas is $100 \mathrm{J}$ and heat absorbed is $120 \mathrm{J}$. If during the process $\mathrm{A}\to \mathrm{B}\to \mathrm{C}$, the work done by the gas is $80 \mathrm{J}$, the heat absorbed is