Soru
If a balloon containing 1,200 L of gas at 25^circ C and 760 mm Hg pressure ascends to an altitude where the pressure is 380 mm Hg and the temperature is 54^circ C the volume will be (Be sure to use the correct number of significant figures.) 2,200 L 3.8times 10^-4L 2,600 L 660 L
Çözüm
4.1
(141 Oylar)
Zeynep
Usta · 5 yıl öğretmeni
Uzman doğrulaması
Cevap
To solve this problem, we can use the combined gas law, which relates the pressure, volume, and temperature of a gas. The combined gas law is given by:
where:-
and
are the initial and final pressures,-
and
are the initial and final volumes,-
and
are the initial and final temperatures in Kelvin.First, we need to convert the temperatures from Celsius to Kelvin:
Next, we plug in the known values into the combined gas law equation:
We need to find
. Rearrange the combined gas law to solve for
:
Substitute the values into the equation:
Calculate the result:
Considering significant figures, the initial volume (1200 L) has 2 significant figures, so the final answer should also be reported with 2 significant figures:
Therefore, the correct answer is: