Answer :
Final answer:
To determine the volume of the gas, we use the Ideal Gas Law equation with the given pressure, number of moles, and temperature (converted to Kelvin). The calculation results in a volume of roughly 2651.2 litres.
Explanation:
To calculate the volume of the gas, we can use the ideal gas law equation, which is PV = nRT. P is the pressure, V is the volume, n is the number of moles, R is the gas constant and T is the temperature in Kelvin. Here, P (pressure) = 8.95 atm, n (number of moles) = 98.5 mol and T (temperature) = 45.30 °C = 318.45 K (convert Celsius to Kelvin by adding 273.15).
But remember to use the proper constant for R which is 0.0821 L·atm/mol·K when Pressure(P) is in atmospheres. So, the equation becomes 8.95 * V = 98.5 * 0.0821 * 318.45. Now, solve for V (volume), then you will get V ≈ 2651.2 L (rounded to the nearest tenth).
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