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Q2. If the volume of the gas collected at 60°C and 1 X 105 Pa pressure was 70 cm3, what would be the volume at a temperature of 0°C and a pressure of 4 X 105 Pa?

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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.

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