Explanation:
I will do two of each as examples.
Boyle's law says that at constant temperature, the product of the initial pressure and volume equals the product of the final pressure and volume.
1. P₁ V₁ = P₂ V₂
(1.5 atm) (10.0 L) = (0.75 atm) V
V = 20.0 L
2. P₁ V₁ = P₂ V₂
(100.0 kPa) (500.0 mL) = P (1,000.0 mL)
P = 50.0 kPa
Charles' law says that at constant pressure, the quotient of the initial volume and temperature equals the quotient of the final volume and temperature.
6. V₁ / T₁ = V₂ / T₂
(10.0 L) / (1500 K) = V / (750 K)
V = 5.0 L
7. V₁ / T₁ = V₂ / T₂
(500.0 mL) / (100 K) = (1000.0 mL) / T
T = 200 K