An ideal gas has an initial pressure of $3$ pressure units and an initial volume of $4$ volume units. The table gives the final pressure and volume of the gas (in those same units) in four, processes. Which processes start and end on the same isotherm
$\begin{array}{|c|c|c|c|c|} \hline & A & B & C & D \\ \hline P & 5 & 4 & 12 & 6 \\ \hline V & 7 & 6 & 1 & 3 \\ \hline \end{array}$
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A $25\times10^{-3}\, m^3$ volume cylinder is filled with $1\, mol$ of $O_2$ gas at room temperature $(300\, K)$. The molecular diameter of $O_2$, and its root mean square speed, are found to be $0.3\, nm$ and $200\, m/s$, respectively. What is the average collision rate (per second) for an $O_2$ molecule?
Inside a cylinder having insulating walls and closed at ends is a movable piston, which divides the cylinder into two compartments. On one side of the piston is a mass $m$ of a gas and on the other side a mass $2 m$ of the same gas. What fraction of volume of the cylinder will be occupied by the larger mass of the gas when the piston is in equilibrium $?$ Consider that the movable piston is conducting so that the temperature is the same throughout
A certain amount of an ideal monatomic gas needs $20 \,J$ of heat energy to raise its temperature by $10^{\circ} C$ at constant pressure. The heat needed for the same temperature rise at constant volume will be ........ $J$
A balloon contains $500\,{m^3}$ of helium at $27°C$ and $1$ atmosphere pressure. The volume of the helium at $-3°C$ temperature and $0.5$ atmosphere pressure will be ..... $m^3$