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Question

What is the density of carbon dioxide gas at the temperature 400k and 0.0821 atmospheric pressure?


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Solution

Step 1: Ideal gas equation :

  • To understand the behavior of gases, the ideal gas law is used.
  • The ideal gas equation is PV=nRT………. (i)
  • Here, P = Pressure, V = Volume, n = No. of moles , R = Universal gas constant (0.0821Latmmol-1K-1), T = Temperature
  • It can also be written as PM=dRT……….(ii)
  • Here, M = Molar mass of the gas and d = Density

Step 2: Given Information

  • Carbon dioxide: It exists in the earth's atmosphere as a gas and its chemical formula is CO2.
  • The molar mass of carbon dioxide gas is 44gmol-1.
  • The temperature is 400K and the pressure is 0.0821atm.

Step 3: Calculation for density:

  • Substituting the given values in equation (ii)

0.0821atm×44gmol-1=d×0.0821L(atm)mol-1K-1×400Kd=0.0821atm×44gmol-10.0821L(atm)mol-1K-1×400Kd=0.11gL-1

Hence, the density of CO2 gas at 400K and 0.0821atm is 0.11gL-1


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