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Answer :
Using the Ideal Gas Law, PV = nRT, and the given values, the pressure of 11 moles of HCl gas occupying 15 L at 300°C is calculated to be approximately 27.9 kPa, hence option D) 27.9 kPa is the correct answer.
The question asks to determine the pressure of 11 moles of HCl gas that occupies 15 L at 300°C. To find this, we can use the Ideal Gas Law, which is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature in Kelvin. It's important to convert the temperature from Celsius to Kelvin by adding 273.15, which makes it 573.15 K.
To solve for P, we rearrange the Ideal Gas Law to P = nRT/V. We are given n = 11 moles, V = 15 L, and T = 573.15 K. The value of R is 8.314 kPa L / (K mol), which is provided in related information.Plugging in the values we have: P = (11 moles * 8.314 kPa L / (K mol) * 573.15 K) / 15 LAfter calculating, the resulting pressure is approximately 27.9 kPa, which corresponds to answer choice D, hence option D) 27.9 kPa is the correct answer.
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