UTME Assessment Dec. 6th 2024

If 1 mole of an ideal gas at STP occupies 22.4 L, what will be the volume of 2 moles of the gas at a temperature of 273 K and pressure of 1520 mmHg?

A gas at a pressure of 2 atm occupies 4 L. If the pressure is increased to 8 atm while keeping the temperature constant, what will be the new volume?

A sample of gas occupies 500 mL at 273 K. What will be the volume at 546 K if the pressure remains constant?

The number of moles in 44.8 L of an ideal gas at STP is:

A gas sample occupies 2000 \, \text{cm}^3 at 27 degree Celsius and 1 atm. If the temperature is raised to 177 degree Celsius and the pressure is reduced to 380 mmHg, what will be the final volume?

A sample of gas has a pressure of \( 101325 \, \text{Pa} \), a volume of \( 2 \, \text{m}^3 \), and a temperature of \( 273 \, \text{K} \). Calculate the number of moles of the gas. \((R = 8.314 \, \text{J·mol}^{-1}\text{·K}^{-1})\)

The decomposition of potassium chlorate is given by:

\[
2\text{KClO}_3 \rightarrow 2\text{KCl} + 3\text{O}_2
\]

If \( 6 \, \text{L} \) of \(\text{O}_2\) is collected at \( 300 \, \text{K} \) and \( 1 \, \text{atm} \), calculate the volume of \(\text{KClO}_3\) (in gas-phase equivalent) decomposed under the same conditions.

The synthesis of ammonia is given by:

\[
\text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3
\]

If \( 12 \, \text{L} \) of \(\text{H}_2\) reacts completely with excess \(\text{N}_2\), what volume of \(\text{NH}_3\) will be produced at constant temperature and pressure?

What is the latent heat of fusion?

What is Brownian motion?