Question:

Assuming that CO2 obeys the perfect gas law, the density of CO2 in kg/m\(^3\) at 536 K and 202.6 kPa is

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To calculate the density of a gas, use the ideal gas law equation and substitute the known values for pressure, temperature, and molar mass.
Updated On: Feb 7, 2025
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The Correct Option is C

Solution and Explanation

- The ideal gas equation is \( PV = nRT \), where \( P \) is pressure, \( V \) is volume, \( n \) is the number of moles, \( R \) is the ideal gas constant, and \( T \) is temperature. 
- The density \( \rho \) is given by \( \rho = \frac{m}{V} = \frac{PM}{RT} \), where \( M \) is the molar mass of CO2. 
- Substituting the known values, the density is found to be 3 kg/m\(^3\). 
Conclusion: The density of CO2 is 3 kg/m\(^3\), as given by option (C).

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