Answer: The answer is 2.88 m3
Explanation: Since temperature, pressure and volume are given in the question, the general gas equation will be useful in calculating the new volume.
General gas equation,
(P1V1)/T1 = (P2V2) /T2 ................ (1)
Where,
P1 = Initial pressure
P2 = Final pressure
V1 = Initial volume
V2 = Final volume
T1 = Initial temperature in kelvin
T2 = Final temperature in Kelvin
Hence, from the question :
P1 = 105 KPa = 105,000 Pa
P2 = 75 KPa = 75,000 Pa
V1 = 2.20 m3
V2 =?
T1 = 30 °C = (273+30) K = 303 K
T2 =10 °C = (273+10) K = 283 K
Therefore, substitute these value into the general gas equation as given in eq (1) above.
V2 = (P1V1T2) /P2V1
V2 = (105000×2.2×283)/ (75000×303)
V2 = 2.88 m3