Thank you for visiting Given the following data Calculate tex Delta S text vap tex for K potassium Express your answer to one decimal place tex Delta S text. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
To find the entropy of vaporization for potassium, we use the formula ΔSvap = ΔHvap / T. With ΔHvap being 40.67 kJ/mol at 372.76 K, converting kJ to J and applying the formula yields 109.1 J·K-1·mol-1, which does not match the provided options. There may be an error in the question or options.
Explanation:
To calculate the entropy of vaporization (ΔSvap) for potassium (K), we will need to use the given molar enthalpy of vaporization (ΔHvap) value and the temperature at which the vaporization occurs. The entropy of vaporization is calculated using the formula:
ΔSvap = ΔHvap / T
Given that the molar enthalpy of vaporization (ΔHvap) for potassium is 40.67 kJ/mol at a temperature of 372.76 K, we first need to convert ΔHvap from kJ to J:
40.67 kJ/mol × 1000 J/kJ = 40670 J/mol
We can now insert these values into our formula:
ΔSvap = 40670 J/mol / 372.76 K
After performing the division, we get the entropy of vaporization for potassium:
ΔSvap ≈ 109.1 J·K-1·mol-1
However, this result is not listed in the provided options (a) 49.2, (b) 63.7, (c) 28.4, (d) 35.9 J·K-1·mol-1. Given that the calculations are based on the provided data and formula, there may be an error in the question or in the provided options. Please double-check the values and the options given.
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