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What is the absolute entropy of 1.9 mol of gaseous ammonia at 2.8 bar and 298 K?

To calculate the absolute entropy of a substance, we need to use the standard entropy values for each element or compound involved.

First, we need to find the standard entropy of gaseous ammonia (NH3). Since we are given the conditions of temperature and pressure, we can look up the standard entropy value from a reference source like a thermodynamics table or a database.

Next, we will multiply the standard entropy value of gaseous ammonia by the number of moles to find the absolute entropy. In this case, we will multiply the standard entropy value by 1.9 mol.

Finally, we need to ensure that the units match for the standard entropy value and the number of moles. If the units differ, we will need to convert them before performing the multiplication.

Note: The standard entropy values can vary depending on the reference used, so it's important to check the specific source you are using.

Given that we need the value for gaseous ammonia at 2.8 bar and 298 K, let's assume we find a standard entropy value of 192 J/(mol·K) for NH3 at 298 K.

To calculate the absolute entropy, we multiply the standard entropy value by the number of moles:

Absolute entropy = Standard entropy value × Number of moles
Absolute entropy = 192 J/(mol·K) × 1.9 mol

Simply multiply these values to find the answer:

Absolute entropy = 364.8 J/K

Therefore, the absolute entropy of 1.9 mol of gaseous ammonia at 2.8 bar and 298 K is 364.8 J/K.