Questions in thermodynamics

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The work done in an adiabatic change in a gas depends only on
In adiabatic expansion
The pressure in the tyre of a car is four times the atmospheric pressure at 300 K. If this tyre suddenly bursts, its new temperature will be $(\gamma =1.4)$
A gas at NTP is suddenly compressed to one-fourth of its original volume. If $\gamma $ is supposed to be $\frac{3}{2}$, then the final pressure is
A monoatomic gas $(\gamma =5/3)$ is suddenly compressed to $\frac{1}{8}$ of its original volume adiabatically, then the pressure of the gas will change to
The pressure and density of a diatomic gas $(\gamma =7/5)$ change adiabatically from $(P, d)$ to $(P', d')$. If $\frac{d'}{d}=32$, then $\frac{P'}{P}$ should be
An ideal gas at ${{27}^{o}}C$ is compressed adiabatically to $\frac{8}{27}$ of its original volume. If $\gamma =\frac{5}{3}$, then the rise in temperature is
Two identical samples of a gas are allowed to expand (i) isothermally (ii) adiabatically. Work done is
Which is the correct statement
The slopes of isothermal and adiabatic curves are related as

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