Answer:
The answer to your question is Volume 2 = 87.5 ml
Step-by-step explanation:
Data
Volume 1 = V1 = 75 ml
Pressure 1 = P1 = 690 mmHg
Temperature 1 = T1 = -45°C
Volume 2 = V2 = ?
Pressure 2 = 760 mmHg
Temperature 2 = 20°C
Process
1.- Convert the temperature to °K
T1 = -45 + 273 = 228°K
T2 = 20 + 273 = 293°K
2.- Use the combined gas law to solve this problem
P1V1/T1 = P2V2/T2
-Solve for V2
V2 = (P1V1T2) / T1P2
-Substitution
V2 = (75 x 690 x 293) / (228 x 760)
-Simplification
V2 = 15162750 / 173280
-Result
V2 = 87.5 ml