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Answer :
Final answer:
The final volume of the gas at standard pressure is approximately 799.7 cm3.
Explanation:
The volume of a gas can be calculated using the ideal gas law equation:
V1 = V2 * (P2/P1) * (T1/T2)
In this case, the initial volume (V1) is 825 cm3, the initial pressure (P1) is 98.5 kPa, and we want to find the final volume (V2) at standard pressure. Standard pressure is defined as 1 atmosphere (atm), which is equal to 101.325 kPa.
Therefore, we can substitute the values into the equation:
V2 = V1 * (P1/P2) * (T2/T1)
Since the temperature is not given, we can assume that it remains constant, which means that T2/T1 is equal to 1. We can now solve for V2:
V2 = 825 cm3 * (98.5 kPa / 101.325 kPa) * 1
V2 ≈ 799.7 cm3
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