Thermodynamics ...

Which one of the following options correctly represents a thermodynamic process that is used as a correction in the determination of the speed of sound in an ideal gas? 

A diatomic ideal gas is compressed adiabatically to $$\displaystyle \frac{1}{32}$$ of its initial volume. If the initial temperature of the gas is $$\mathrm{T}_{\mathrm{i}}$$ (in Kelvin) and the final temperature is $$\mathrm{a}\mathrm{T}_{\mathrm{i}}$$, the value of a is

A monoatomic gas at pressure $$P_1$$ and volume $$V_1$$ is compressed adiabatically to $$\displaystyle \frac{1}{8}$$th of its original volume. What is the final pressure of the gas

A monoatomic gas at a pressure $$P$$, having a volume $$V$$ expands isothermally to a volume $$2V$$ and then adiabatically to a volume $$16V$$. The final pressure of the gas is : (take $$\gamma = 5/3$$)

The volume(V) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state A to state B, is?

A mass of diatomic gas $$\left(\gamma = 1.4\right)$$ at a pressure of $$2\ atm$$ is compressed adiabatically so that its temperature rise from $$27^oC $$ to $$927^oC$$. The pressure of the gas is final state is

Two cylinders $$A$$ and $$B$$ of equal capacity are connected to each other via a stop cock. $$A$$ contains an ideal gas at standard temperature and pressure. $$B$$ is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. The process is :

Thermodynamic process are indicated in the following diagram.
Match the following:

For an adiabatic process

What is the slope for an isothermal process?