An ideal diatomic gas at 80 k is slowly compressed adiabatically and reversibly to half its volume. The final temperature is 104.8k
<h3>Calculation of final temperature </h3>
The formula used for compression is:-
TV^(γ-1)=C
where;
T= temperature=80k
V=volume(given volume is half of its original volume i.e v/2)
γ=CP/CV= ( 7.R/2)/(5R/2)=7/5
C= constant
using the given values in the formula;
80 x V^[(7/5)-1]=T(final) (V/2)^[(7/5)-1]
80=T(final) x (V/V2)^(2/5)
80=T(final) x (1/2)^(2/5)
T(final)= 80 x (2)^2/5
T(final)= 80 x 1.31
final temperature =104.8k
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Answer:
0.92 atm
Explanation:
Assuming this is the ideal gas law, PV = nRT. Plug in the values for each.
P = unknown
V = 6.0 L
n = 0.190 moles
R = 0.0821 (there are other rates of constant, such as 8.31, 62.4, but match it up to the correct units! 8.31 will answer in units of kPa and 62.4 will answer in units of mmHg, and lastly 0.0821 answers in atm.)
T = 354.0 K
Set up your equation.
P(6) = 0.190(0.0821)(354)
6p = 5.522046
Divide.
p = 0.920341...
Answer: 0.92 atm
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