If $R = 8.314$,express it with its units.

The densities of two gases are in the ratio $1:2$ and their temperatures are in the ratio $2:1$. What is the ratio of their corresponding pressures?

If the temperature of a fixed mass of gas is increased by $1\,^{\circ}C$ at constant pressure,what will be the new volume of the gas?

Explain Boyle's law,derive its mathematical equation,and describe the isothermal graph.

If a gas occupies a volume of $1.5 \, L$ at a pressure of $75 \, cm \, Hg$,then at the same temperature,the volume of the gas at a pressure of $50 \, cm \, Hg$ will be ........... $L$. (in $.25$)

Find the pressure of a $CO_2$ gas when $6.022 \times 10^{22}$ molecules are placed in a $2 \ L$ vessel at $27 \ ^oC$ temperature. (in $bar$)