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What is the effect of the following change on the volume of 1 mol of an ideal gas? The initial pressure is 722 torr, the final pressure is 0.950 atm, the initial temperature is 32°F, and the final temperature is 273 K. A. Volume is unchanged B. Volume increases by about 10% C. volume decreases by about 92% D. volume increases by 8% E. volume increases by about 90%.

Respuesta :

Answer:

A. Volume is unchanged

Explanation:

[tex]P_{i}[/tex] = initial pressure of the gas = 722 torr = 96258.7 pa

[tex]P_{f}[/tex] = final pressure of the gas = 0.950 atm = 96258.75 pa

[tex]T_{i}[/tex] = initial temperature = 32 °F = 272.15 K

[tex]T_{f}[/tex] = final temperature = 273 K

[tex]V_{i}[/tex] = initial volume

[tex]V_{f}[/tex] = final volume

Using the Equation

[tex]\frac{P_{i} V_{i}}{T_{i}} = \frac{P_{f} V_{f}}{T_{f}}[/tex]

Inserting the values

[tex]\frac{(96958.7) V_{i}}{272.15} = \frac{(96958.75) V_{f}}{273}[/tex]

[tex]V_{f} = (1.00312) V_{i}[/tex]

Hence the volume is unchanged.

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