Answer:
The new pressure of the gas is 1080 mmHg
Step-by-step explanation:
The general equation provides a way to calculate the relationship between changesnp in volume, temperature and pressure of a given mass of gas.
The general gas equation is given as P1V1/T1 = P2V2/T2
Where P1 is initial pressure of gas
V1 is initial volume of gas
T1 is initial temperature of gas
P2 is final pressure of gas
V2 is final volume of gas
T2 is final temperature of gas
From the given question, P1 = 900 mmHg, V1 = 0.8 L, T1 = 400 K, P2 = ?, V2 = 0.5 L, T2 = 300 K
Making P2 subject of the general gas equations:
P2 = P1V1T2/V2T1
P2 = (900 × 0.8 × 300) / (0.5 × 400)
P2 = 1080 mmHg
Therefore, the new pressure of the gas is 1080 mmHg.