Soru
A tire has a pressure of 780 mm Hg at 27^circ C If the tire is heated to 47^circ C on hot pavement, the new pressure will be: 830 mm Hg ) 280 mm Hg 590 mm Hg 310 mm Hg none of the above
Çözüm
4.7
(182 Oylar)
Leyla
Elit · 8 yıl öğretmeni
Uzman doğrulaması
Cevap
To solve this problem, we can use the ideal gas law in the form of Gay-Lussac's Law, which relates pressure and temperature for a fixed amount of gas at constant volume. The formula is:
where:-
is the initial pressure,-
is the initial temperature in Kelvin,-
is the final pressure,-
is the final temperature in Kelvin.First, convert the temperatures from Celsius to Kelvin by adding 273.15:
Now, substitute the known values into the equation:
Solve for
:
Calculate
:
The new pressure is approximately 831.8 mm Hg. Since this value does not exactly match any of the given options, the correct answer is "none of the above."