Final answer:
Using the combined gas law, the volume of the gas at 0°C and a pressure of 4 X 105 Pa would be 17.5 cm³.
Step-by-step explanation:
To determine the volume of the gas at 0°C and a pressure of 4 X 105 Pa, we can use the combined gas law, which is expressed as (P1 * V1) / T1 = (P2 * V2) / T2, where P is pressure, V is volume, and T is temperature in Kelvin. It's important to convert all values to their proper units before applying the formula: 60°C to Kelvin is 333.15 K, and 0°C to Kelvin is 273.15 K.
Applying the values we have:
(1 X 105 Pa * 70 cm³) / 333.15 K = (4 X 105 Pa * V2) / 273.15 K
Solving for V2 gives:
V2 = (1 X 105 Pa * 70 cm³ * 273.15 K) / (333.15 K * 4 X 105 Pa) = 17.5 cm³
Therefore, the volume of the gas at 0°C and a pressure of 4 X 105 Pa would be 17.5 cm³.