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A gas at 27ºC temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, then the final temperature becomes
  • a)
    100ºC
  • b)
    173ºC [2001]
  • c)
    273ºC
  • d)
    –173ºC
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A gas at 27ºC temperature and 30 atmospheric pressure is allowed ...
°C and 1 atm pressure has a volume of 22.4 L. This is known as the molar volume of a gas at standard temperature and pressure (STP).

At different temperatures and pressures, the volume of a gas will change according to the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin.

For example, if the temperature of the gas is increased to 100°C (373 K), and the pressure remains at 1 atm, the volume of the gas will increase to approximately 36.7 L, assuming the number of moles of gas and the gas constant remain constant.

Similarly, if the pressure of the gas is increased to 2 atm, and the temperature remains at 27°C, the volume of the gas will decrease to approximately 11.2 L.

These calculations demonstrate that the volume of a gas is directly proportional to the temperature and inversely proportional to the pressure, as predicted by the ideal gas law.
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A gas at 27ºC temperature and 30 atmospheric pressure is allowed ...
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A gas at 27ºC temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, then the final temperature becomesa)100ºCb)173ºC [2001]c)273ºCd)–173ºCCorrect answer is option 'D'. Can you explain this answer?
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