Question

A quantity of n2 occupies a volume of 1.4 L at 300 K and 1.0 atm. The gas expands to a volume of 2.8 L as a result of a change in both temperature and pressure. What is the final pressure of the gas?

1) 0.5 atm
2) 1.0 atm
3) 2.0 atm
4) 4.0 atm

Answer 1

The final pressure of the gas is 0.5 atm.

Step-by-step explanation:

To find the final pressure of the gas, we need to use the combined gas law formula: P1V1/T1 = P2V2/T2. In this case, the starting pressure (P1) is 1.0 atm, the starting volume (V1) is 1.4 L, the starting temperature (T1) is 300 K, and the final volume (V2) is 2.8 L. Rearranging the formula to solve for P2, we get P2 = (P1 * V1 * T2) / (V2 * T1). Plugging in the values, we get P2 = (1.0 atm * 1.4 L * 300 K) / (2.8 L * 300 K) = 0.5 atm.