A container holds four moles of carbon dioxide of molecular formula ${\mathrm{CO}}_2$. Calculate the number of carbon atoms there are in the container.

(b) A container holds four moles of carbon dioxide of molecular formula ${\mathrm{CO}}_2$ Calculate:

(iii) The number of oxygen atoms there are in the container.

A bar of gold-$197$ has a mass of $1.0 \mathrm{kg}$. Calculate the mass of one gold atom in $\mathrm{kg}$.

A bar of gold-$197$ has a mass of $1.0 \mathrm{kg}$. Calculate the number of gold atoms in the bar.

A bar of gold-$197$ has a mass of $1.0 \mathrm{kg}$. Calculate:

(c) The number of moles of gold in the bar. (An atom of gold contains 197 nucleons and has a mass of 197 u.)

A cylinder holds $140{ \mathrm{m}}^3$ of nitrogen at room temperature and pressure. Moving slowly, so that there is no change in temperature, a piston is pushed to reduce the volume of the nitrogen to $42{ \mathrm{m}}^3$. Calculate the pressure of the nitrogen after compression.

A cylinder holds $140{ \mathrm{m}}^3$ of nitrogen at room temperature and pressure. Moving slowly, so that there is no change in temperature, a piston is pushed to reduce the volume of the nitrogen to $42{ \mathrm{m}}^3$. Explain the effect on the temperature and pressure of the nitrogen if the piston is pushed in very quickly.

A cylinder contains $4.0\times {10}^{-2}{ \mathrm{m}}^3$ of carbon dioxide at a pressure of $4.8\times {10}^5 \mathrm{Pa}$ at room temperature. Calculate the number of moles of carbon dioxide.