Answer:
3.98dm³
Explanation:
Using combined gas law equation:
P1V1/T1 = P2V2/T2
Where;
P1 = initial pressure (kPa)
P2 = final pressure (kPa)
V1 = initial volume (dm³)
V2 = final volume (dm³)
T1 = initial temperature (K)
T2 = final temperature (K)
According to the provided information in this question:
V1 = 3.5dm³
V2 = ?
P1 = 101 kPa
P2 = 85.0 kPa
T1 = 23.0°C = 23 + 273 = 296K
T2 = 10.0°C = 10 + 273 = 283K
Using P1V1/T1 = P2V2/T2
101 × 3.5/296 = 85 × V2/283
353.5/296 = 85V2/283
Cross multiply
296 × 85V2 = 353.5 × 283
25,160V2 = 100,040.5
V2 = 100,040.5 ÷ 25,160
V2 = 3.98dm³
