On a cold winter morning when the temperature is –13°C, the air pressure in an automobile tire is 1.5 atm. If the volume does not change, what is the pressure after the tire has warmed to 15°C? i need help idk the anwser. and there is like two more questions that i also need help if you could help thanks
the choices are A.3.0 atm B.–1.5 atm C.19.5 atm D.1.7 atm
Pv=NrT are you familar with this equation?
nope i havent done chemistry in a while this is a credit retreval class
i'm guessing you have to use one of the gas laws.
yes i think
it doesnt say
Ok, since the volume is remaining constant, use the gay-lussac's law. which is: \[\frac{ P1 }{ T1 } = \frac{ P2 }{ T2 }\] where P1 is initial pressure, T1 is initial temperature, P2 is final pressure, and T2 is final temperature.
i dont understand how to use that formula can explain further please
We have the following list of known variables: T1(initial temperature) is -13C or 260.15 kelvins T2(final temperature) is 15C or 288.15 kelvins P1(initial pressure) is 1.5 atm P2(final pressure) is the variable we want to find. Using the gay-lussac's law, we isolate P2 from the equation. \[P2 = T2\frac{ P1 }{ T1 }\] Plug in the known variables to solve for the final pressure of the tire. (note: you need to use the units kelvin for the temperature when you are solving for P2).
Yes, coolsday has got the write idea. For kelvin you add 273 to degrees btw
so do i take 1.66 and add it to 273?
no no no. 1.66 atm is is your final pressure. add 273 to your temperatures to convert them to kelvins For example, -13C + 273 = 260 Kelvins
oh okay so for the other temperature it will be 288 Kelvin
since its 15+273
yes
and then what do you do witht the two temperatures?:/
do you add them to something?
To use the equation to find P2, you have to convert the temperatures in to kelvins in order for the final answer to be correct.
You use the two temperature, after converting them into kelvins, to find the final pressure (P2)
but so you add both temperatures together or to 1.66?
srry chem is really hard for me im trying to understand
Dont overthink the question to much. You know pressure 1 and temperture one. You also know temp 2. So P1/T1= What? It = 1.5atm/ 260K. This gives us 5.8e-3= P2/ T2. And you also know T2 = 288 Kelvin. So multiply out, 288 K x 5.8e-3= P2 P2= 1.7 atm
The equation used was: \[P2 = T2\frac{ P1 }{ T1 }\] As you can see, to solve for P2(final pressure), you need T2, P1, and T1 However, in order for you to get the right answer, T2 and T1 has to be converted into kelvins. Once you convert T1 and T2 into kelvins, plug in T1, T2, and P1 into that equation to solve for P2.
thanks
no problem.
oh hey can you help me with this next question its the only other question i have
Ok, i will try
this is the question The mass of 322 mL of hydrogen gas at 4.0 atm and –73°C is 1.21 grams. What is the density of hydrogen gas at STP?
A.6.88 × 10–4 g/mL
B.1.45 × 103 g/mL
C.1.28 × 10–3 g/mL
D.4.87 X 101
STP has a pressure of 1atm and a temperature of 0 Celsius. The variables given are: m=1.21 g v=322 ml p=4.0 atm t=200 k n=? use the ideal gas law which is: \[pv=nrt\] Okay, since you want to find the density of the hydrogen gas, you will have to manipulate the ideal gas law. We know that density is mass / volume or \[d = \frac{ m }{ v }\] We also know that mass is molar mass x moles or \[m = Mn\] So, \[d = \frac{ Mn }{ v }\] Now take the ideal gas law equation again and isolate it for n \[n = \frac{ pv }{ rt }\] Take \[d = \frac{ Mn }{ v }\] and substitute n with \[n = \frac{ pv }{ rt }\] Now we get d = (Mpv/rt)/v d = Mpv/rtv pr d = Mp/rt Use the final equation \[d = Mp/rt\] to find the density M is the molar mass of hydrogen gas p is the pressure of the hydrogen gas r is the gas constant (0.082057 L atm mol^-1 K^-1 t is the temperature of the hydrogen gas in kelvins
the solution you will get will be expressed in g/L So you will have to convert it to g/ml
Sorry for taking so long, but it has been a while since i worked with gas laws :)
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