Question

The pressure value of a gas is 930.2 mm Hg. The volume is then reduced to 40% of its initial value at a constant temperature. Then what is the final pressure (in mmHg)

Answer 1

If the volume is reduced to 40% of its initial value, then the final volume is 0.4 times the initial volume. Since the temperature is constant, according to Boyle's Law, the pressure of the gas is inversely proportional to its volume. Therefore, if the volume is reduced to 0.4 times its initial value, the pressure will increase by a factor of $\frac{1}{0.4}$ = 2.5.
So the final pressure can be calculated as:
Final pressure = Initial pressure x $(\frac{Initial volume}{ Final volume})$
Final pressure = 930.2 mmHg x ($(\frac{1}{0.4})$)
Final pressure = 2325.5 mmHg
Therefore, the final pressure of the gas is 2325.5 mmHg (rounded to one decimal place).
Answer. 2325.5 mmHg