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A cylinder contains 4.24 mol of helium gas at a temperature of 251 K. The molar

ID: 1336266 • Letter: A

Question

A cylinder contains 4.24 mol of helium gas at a temperature of 251 K. The molar specific heat of helium at constant volume is 12.5 J/K mol. How much heat must be transferred to the gas to increase its temperature to 534 K if it is heated at constant volume? Answer in units of J. The molar specific heat of helium at constant presure is 20.8 J/K mol. How much thermal energy must be transferred to the gas at constant pressure to raise the temperature to 534 K? Answer in units of J. A vessel contains 8600 oxygen molecules at 490 K having Maxwell-Boltzmann distribution function. The universal gas constant is 8.31451 J/K mol. Determine the most probable speed, if the molecular mass of oxygen is 0.032 kg/mol. Answer in units of m/s.

Explanation / Answer

006 )

increase in temperature , del T = 534 - 251

del T = 283 K

heat transferred = increase in internal energy

heat transferred = n * Cv * del T

heat transferred = 4.24 * 12.5 * 283

heat transferred = 14999 J

the heat transferred is 14999 J

7)

at constant pressure ,

heat transferred = n * Cp * del T

heat transferred = 4.24 * 20.8 * 283

heat transferred = 24958 J

the heat transferred is 24958 J

please post seperate questions in seperate posts

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