Question

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%.

Answer 1

Answer:

A. Volume is unchanged

Explanation:

$P_{i}$ = initial pressure of the gas = 722 torr = 96258.7 pa

$P_{f}$ = final pressure of the gas = 0.950 atm = 96258.75 pa

$T_{i}$ = initial temperature = 32 °F = 272.15 K

$T_{f}$ = final temperature = 273 K

$V_{i}$ = initial volume

$V_{f}$ = final volume

Using the Equation

$\frac{P_{i} V_{i}}{T_{i}} = \frac{P_{f} V_{f}}{T_{f}}$

Inserting the values

$\frac{(96958.7) V_{i}}{272.15} = \frac{(96958.75) V_{f}}{273}$

$V_{f} = (1.00312) V_{i}$

Hence the volume is unchanged.