View Full Version : How can I find temperature?
hslove142331
Jan 16, 2010, 03:07 PM
To what temperature must 280mL of CO2 be cooled for its volume to decrease to 130mL if initial temperature is 11C ?
How can I find temperature?
Do we have any formula for this problem?
Thank you
Unknown008
Jan 17, 2010, 09:00 AM
Yes, you basically start with the equation:
PV=nRT
P = pressure of gas
V = volume of gas
n = no. of moles of gas
R = ideal gas constant
T = temperature of gas in Kelvin
the ideal gas law equation.
Now, since it's a closed system, the number of moles n is a constant.
Then, you can write it as:
nR = \frac{PV}{T}
Now, since you have two different situations, with the same constant, you may write:
\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}
Here, since the pressure remains the same, the P crosses out;
\frac{V_1}{T_1} = \frac{V_2}{T_2}
Then, replace:
Initial volume = 280 mL
Initial temperature = 11+275 = 286 K
Final volume = 130 mL
\frac{280}{286} = \frac{130}{T_2}
Solve for T2, the final temperature in Kelvin. Then convert back to degrees celsius if you want or if it is asked.
hslove142331
Jan 18, 2010, 02:15 PM
Initial temperature = 11+275 = 286 K
on here I thought 273, Is it just same as 275?
so T2 going to be -140.15C ? Correct?
Unknown008
Jan 20, 2010, 07:36 AM
Yes, it's 273, I made a typo... last time. :o
Yes, you got the answer! :)
hslove142331
Jan 20, 2010, 01:54 PM
Thank you so much! Your teaching is more better than ma teacher.
Unknown008
Jan 21, 2010, 06:22 AM
Lol, the only difference is that I may not be always on time to answer you. I'm myself quite busy with my homework...
Thanks for the compliment! :)