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The molar heat capacity at constant volume of a colourless gas is found to be 25 J mol–1 K–1 at room temperature. The gas must be:
  • a)
    N2
  • b)
    O2
  • c)
    CO2
  • d)
    SO2
Correct answer is 'D'. Can you explain this answer?
Most Upvoted Answer
The molar heat capacity at constant volume of a colourless gas is foun...
Explanation:

Molar heat capacity at constant volume is the amount of heat required to raise the temperature of one mole of substance by one Kelvin at constant volume. The formula for molar heat capacity at constant volume is:

Cv = (dU/dT)v

where Cv is molar heat capacity at constant volume, dU is change in internal energy and dT is change in temperature.

Now, let's use the given data to find out which gas it could be:

- Nitrogen (N2): The molar mass of N2 is 28 g/mol. The molar heat capacity at constant volume of N2 is 20.8 J mol-1 K-1 at room temperature. Therefore, it cannot be N2.
- Oxygen (O2): The molar mass of O2 is 32 g/mol. The molar heat capacity at constant volume of O2 is 20.8 J mol-1 K-1 at room temperature. Therefore, it cannot be O2.
- Carbon dioxide (CO2): The molar mass of CO2 is 44 g/mol. The molar heat capacity at constant volume of CO2 is 28.5 J mol-1 K-1 at room temperature. Therefore, it cannot be CO2.
- Sulfur dioxide (SO2): The molar mass of SO2 is 64 g/mol. The molar heat capacity at constant volume of SO2 is 25 J mol-1 K-1 at room temperature. Therefore, it must be SO2.

Therefore, the correct answer is (D) SO2.
Community Answer
The molar heat capacity at constant volume of a colourless gas is foun...
By formula Cv= fR/2 put R=25/3= 8.3 ,f= 6 which is only for non linear SO2 molecule .
all gases in option are colourless.
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The molar heat capacity at constant volume of a colourless gas is found to be 25 J mol–1 K–1 at room temperature. The gas must be:a)N2b)O2c)CO2d)SO2Correct answer is 'D'. Can you explain this answer?
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